Let X be a random variable with pdf given by 0, > 0. V2z3 Canonical Link 1 point possible (graded, results hidden) What is the canonical link g (u)? g(u) =
Answers
The pdf of the random variable Z = X + Y is given by the convolution of the pdfs of X and Y. The convolution is denoted by h(z) = (f * g)(z) = ∫f(x)g(z-x)dx. It represents the probability of the sum of two random variables taking on a certain value.
What will be the probability of taking X?In other words, it is the probability of X taking on a certain value x and Y taking on a certain value z-x simultaneously. The convolution is only defined if X and Y are independent random variables, and the integral converges.
It is also important to note that the convolution of two pdfs does not necessarily result in a pdf, it can also result in a cdf, if integral from minus infinity to z is taken instead of from minus infinity to infinity.
Therefore, the pdf of the random variable Z = X + Y is given by the convolution of the pdfs of X and Y. The convolution is denoted by h(z) = (f * g)(z) = ∫f(x)g(z-x)dx. It represents the probability of the sum of two random variables taking on a certain value.
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Related Questions
assume that there are 10 students in a class. the average grade on a test for the nine of the students is 85. the grade of the tenth student is 90. the average grade for the class will be
Answers
Answer:
85.5
Step-by-step explanation:
85 • 9 is 765
If you add 90 to 765 and then divide the sum by 10, you get 85.5.
Please help i will do anything!! Pleasee
Answers
Answer:
i will say the first one is yes and then is the third one
Step-by-step explanation:
at the local college, a study found that students earned an average of 9.2 credit hours per semester. a sample of 138 students was taken. what is the best point estimate for the average number of credit hours per semester for all students at the local college?
Answers
The average number of credit hours per semester for all students at the local college is 9.2.
It is given that,
at the local college a study sound that students earned an average of 9.2 credit hours per semester.
⇒ x = 9.2 credit hours per semester
Therefore by the central limit theorem,
x = μ = 9.2 credit hours per semester
The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.
Therefore the average number is 9.2 credit hours per semester for all students at the local college.
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while logistic regression and classification and regression trees (cart) have the same end goal, each model approaches the goal in a different way. discuss the differences in the two models. provide a specific example of a situation where employing a cart model would be preferable to a logistic regression model. explain what makes the cart model superior in your example.
Answers
Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.
Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.
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The following are the ages of 5 people in a room:
20, 13, 14, 21, 18
A person enters the room.
The mean age of the 6 people is now 22.
What is the age of the person who entered the room?
Answers
Answer:
46
Step-by-step explanation:
20+13+14+21+18=86
86+46=132
132 divided by 6=22
The factorial n ! is defined for a positive integer n as: n!=n×(n−1)×(n−2)×…×2×1. For example, 4!=4×3×2×1=24. 0! is defined as: 0!=1. An incomplete implementation of a function named factorial is provided in composition.c. The function header is: int factorial(int n ) This function calculates and returns n!. Finish the definition of this function. Your function should assume that n is 0 or positive; i.e., it should not verify that n is ≥0 before calculating n !. Aside: for C compilers that use 32-bit integers, the largest value of type int is 2
31
−1. Because the return type of factorial is int and n ! grows rapidly as n increases, this function will be unable to calculate factorials greater than 15 ! Build and execute the project. Use the console output to help you identify and correct any flaws. Verify that your function passes all the tests in test suite #1 before you start Exercise 2 .
Answers
This implementation assumes that n is a positive integer and does not include any error handling for negative values.
int factorial(int n) {
int product = 1;
for (int i = 1; i <= n; i++) {
product = product * i;
}
return product;
}
In this code, the factorial function takes a positive integer n as input and calculates the factorial of n. It initializes the product variable to 1 and then uses a for loop to iterate from 1 to n. In each iteration, the product variable is multiplied by i. Finally, the calculated factorial value is returned.
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8(x − 3) > 4(2x−6) solve the inequlity
Answers
Answer: x > 3
Step-by-step explanation:
1. What is the general form of the equation for this line y-5= -3(x + 4)?
a) -3x + y - 17 =0
b) 3x+y+7=0
c) 3x - y - 17 =0
d) -3x -y +7=0
Answers
Answer:
I think its B
Brooke used 8 cups of flour to bake 5 cakes. How much flour, on average, did she put in each cake?
Answers
On average, Brooke put approximately 1.6 cups of flour in each cake.
To find the average, we need to divide the total amount of flour used by the number of cakes.
Brooke used a total of 8 cups of flour to bake 5 cakes.
To find the average amount of flour per cake, we divide the total amount of flour by the number of cakes:
The average amount of flour per cake = Total amount of flour used / Number of cakes
Average amount of flour per cake = 8 cups / 5 cakes
Dividing 8 cups by 5 cakes, we get:
Average amount of flour per cake = 1.6 cups
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For each pair of signals x() and ℎ() given below, compute the convolution integral y() = x() ∗ ℎ()
1) x() = () and ℎ() = ^(−2) ( − 1)
Answers
The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:
y(t) = ∫[x(τ) * h(t - τ)] dτ
1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)
The convolution integral becomes:
y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ
To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:
y(t) = δ(t - 2) * (t - 1)
The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.
In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).
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What is the equation of the line that has a slope of 1/2 and passes through the point (6,4)? Write your answer in slope intercept form
Answers
Answer:
A
Step-by-step explanation:took it on edge!
Answer:
y = 1/2x + 1
Step-by-step explanation:
slope-intercept form: y = mx + b
If you have a slope of 1/2, m = 1/2
y = 1/2x + b
To find b, plug in the known point.
4 = 1/2(6) + b
Solve.
4 = 3 + b
b = 1
Plug b into your equation.
y = 1/2x + 1
The new iPhone 3.14 is being sold at the UT Math Department. The original price is
$1100 (day 0), but they are going to decrease the price of the phone by x percent each
day. You decided to wait until the price dropped to $67.59 on the 16th day to purchase
yours.
What was the daily percent decrease that the UT Math Department set for the iPhone
3.14?
Answers
The decrement in the price of iPhone is an illustration of geometric progression.
The daily percentage decrease is 17%
The initial price is given as:
\(\mathbf{a =1100}\)
The common ratio is given as:
\(\mathbf{r = x\%}\)
The price on the 16th day is:
\(\mathbf{a_{16} = 67.59}\)
The nth term of a GP is:
\(\mathbf{a_n = ar^{n-1}}\)
So, we have:
\(\mathbf{67.59= 1100 \times x^{16-1}}\)
Divide both sides by 1100
\(\mathbf{0.06144545454= x^{16-1}}\)
This gives
\(\mathbf{0.06144545454= x^{15}}\)
Take 15th root of both sides
\(\mathbf{0.83029= x}\)
Rewrite as:
\(\mathbf{x = 0.83029}\)
Express as percentage
\(\mathbf{x = 83.029\%}\)
Approximate
\(\mathbf{x = 83.0\%}\)
Subtract 83% from 1
\(\mathbf{Daily = 1 -83\%}\)
\(\mathbf{Daily = 17\%}\)
Hence, the daily percentage decrease is 17%
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Which expression is the best estimate of the product of startfraction 7 over 8 endfraction and 8 and startfraction 1 over 10 endfraction?.
Answers
The best estimate of the product is b) 1 times 10.
The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.
Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.
Correct Question :
Which expression is the best estimate of the product of (7/8)8(1/10)?
a) 0 times 8
b) 1 times 10
c) 7 times 8
d) 1 times 8
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By inspecting the equations, what can you determine about the solution(s) of this system?
X+4=Y
X+4Y=1
Answers
the value of x=-3 and y=1 by a solving equation system.
What is a System of Equations?
A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step toward solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.
X+4=Y ...1
X+4Y=1 .....2
x-y=-4
x+4y=1
-5y = -5
y=1
x =-3
Hence the value of x=-3 and y=1 by a solving equation system.
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write the quadratic function in standard form.
g(x)=x2-8x
g(x)=______
I put in x2 - 8x but it keeps marking it as
incorrect
Answers
The standard form of the quadratic function is given as follows:
g(x) = (x - 4)² - 16.
How to define the quadratic function given it's vertex?The quadratic function of vertex(h,k) is given by the rule presented as follows:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The function for this problem is given as follows:
g(x) = x² - 8x.
The coefficients are given as follows:
a = 1, b = -8 and c = 0.
The x-coordinate of the vertex is given as follows:
x = -b/2a
x = 8/2
x = 4.
The y-coordinate of the vertex is given as follows:
g(4) = 4² - 8(4)
g(4) = -16.
Hence the standard form of the quadratic function is given as follows:
g(x) = (x - 4)² - 16.
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please help me solve x please
Answers
Answer:
x = 5
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.
Given that:
< B = 12x + 8
< D = 8x + 8
< C = 20°
Set up the following formula to solve for x:
(8x + 8) + 20 = 12x + 8
Combine like terms:
8x + 28 = 12x + 8
Subtract 8 from both sides:
8x + 28 - 8 = 12x + 8 - 8
8x + 20 = 12x
Subtract 8x from both sides:
8x - 8x + 20 = 12x - 8x
20 = 4x
Divide both sides by 4 to solve for x:
20/4 = 4x/4
5 = x
Therefore, x = 5.
Solve similar triangles (advanced)
Solve for x
A, 3, B^2, x, D, 13, E, C
Answers
Answer:
x = 10
Step-by-step explanation:
\(\frac{3}{13}\) = \(\frac{3}{3+x}\) cross multiply and solve for x
3(3+ x) = 3(13) Distribute the 3
9 + 3x = 39 Subtract 9 from both sides
3x = 30 Divide both sides by 3
x = 10
then should you reject the null hypothesis and when should you not? (when given the significance level and P value)
Answers
The results of hypothesis testing, as p-values and significance levels are merely tools to help guide decision-making.
When conducting a hypothesis test, the null hypothesis is the default position or assumption.
It is the hypothesis that there is no significant difference between the two groups being compared.
The alternative hypothesis, on the other hand, is the hypothesis that there is a significant difference between the two groups.
To decide whether to reject or accept the null hypothesis, we need to consider the significance level and the p-value.
The significance level (alpha) is the probability of rejecting the null hypothesis when it is actually true.
A common significance level is 0.05, which means that there is a 5% chance of making a type I error (rejecting the null hypothesis when it is true).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true.
If the p-value is less than the significance level, then we reject the null hypothesis and accept the alternative hypothesis.
If the p-value is greater than the significance level, we fail to reject the null hypothesis.
Therefore, you should reject the null hypothesis when the p-value is less than the significance level (alpha).
This indicates that the results are statistically significant and support the alternative hypothesis.
On the other hand, you should not reject the null hypothesis when the p-value is greater than the significance level.
This means that the results are not statistically significant, and there is not enough evidence to support the alternative hypothesis.
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In general, what is the relationship between the standard deviation and variance?
a. Standard deviation equals the squared variance.
b. Variance is the square root of the standard deviation.
c. Standard deviation is the square root of the variance.
d. These two measures are unrelated.
Answers
The relationship between the standard deviation and variance is that the standard deviation is the square root of the variance.
The correct option is -C
Hence, the correct option is (c) Standard deviation is the square root of the variance. Variance is the arithmetic mean of the squared differences from the mean of a set of data. It is a statistical measure that measures the spread of a dataset. The squared difference from the mean value is used to determine the variance of the given data set.
It is represented by the symbol 'σ²'. Standard deviation is the square root of the variance. It is used to calculate how far the data points are from the mean value. It is used to measure the dispersion of a dataset. The symbol 'σ' represents the standard deviation. The formula for standard deviation is:σ = √(Σ(X-M)²/N) Where X is the data point, M is the mean value, and N is the number of data points.
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help me with math pl
Answers
A)
Car wash costs "3"
x gallons at $2.76 per gallon would cost "2.76x"
Total cost , y, is the sum so:
\(y=2.76x+3\)B)
b.
The graph is shown below:
c.
We put 8 into x of the equation to find the cost.
\(\begin{gathered} y=2.76x+3 \\ y=2.76(8)+3 \\ y=25.08 \end{gathered}\)
A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a rectangle?
-9
09
O-3
O3
Answers
If a contractor is constructing a pool with the labels ABCD and if AC = 5y + 6 and BD = 8y-3, then the value of y which is 03 that ensures the pool is a rectangle.
What are the properties of rectangle ?Rectangle has a tight, flat formThere are 4 corners, 4 angles, and 4 sides (vertices).It has length and width as its 2 dimensions.A rectangle has 90° angles on each side.The opposing sides are parallel and equal.It features 2 diagonals of equal length.The statement states that he is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3
We know that rectangle has 2 diagonals of equal length.
Diagonal 1 = Ac
Diagonal 2 = BD
AC = BD
5y+ 6 = 8y -3
9 = 3y
3 = y
3 value of y ensures the pool is a rectangle .
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5
Answers
A bus traveled on a straight road for 3 h at an average speed that was 12 mph faster than its average speed on a winding road. The time spent on the winding road was 3 h. Find the average speed on the winding road if the total trip was 210 mi.
Answers
The average speed on the winding road was 45 mph.
The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.
On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.
The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:
3x + 3(x + 12) = 210
Simplifying the equation:
3x + 3x + 36 = 210
6x + 36 = 210
6x = 174
x = 29
So the average speed on the winding road was 29 mph.
The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.
On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.
The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.
In summary, the average speed on the winding road was 29 mph.
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5/7 + 3/7 simpliest form
Answers
Answer:
8 1/7
Step-by-step explanation:
Answer:
\(\frac{8}{7}\)
Step-by-step explanation:
Write all numerators above the common denominator
\(\frac{5+3}{7}\)
Add the numbers together (5+3)
\(\frac{8}{7}\)
Alternative Form:
\(1\frac{1}{7}\), 1.132857
Hope this helps! :)
Measia rode her bike 174 miles in six days, riding the same distance each day. Jamal rode his bike 135 miles in five
days, riding the same distance each day. Which of the following statements is true?
Answers
Answer:
6
Step-by-step explanation:
, , , , ,, , , , , , , , ,sssss
In a recent poll, 46% of respondents claimed they would vote for the incumbent governor. Assuming this is the true proportion of voters that would vote for the incumbent, let X be the number of people out of 50 that would vote for the incumbent. What is the standard deviation of the sampling distribution of X and what does it mean
Answers
The standard deviation is 0.0692 and it means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.
Given, In a recent poll, 46% of respondents claimed they would vote for the incumbent governor.
Assuming this is the true proportion of voters that would vote for the incumbent.
Let X be the number of people out of 50 that would vote for the incumbent.
We know that the standard deviation of the sampling distribution of X is:
σ = sqrt [p (1 - p) / n]
Where: p = proportion of success in the population,
n = size of the sample
σ = sqrt [0.46(1 - 0.46) / 50]
σ = sqrt [0.24 / 50]σ = sqrt [0.0048]
σ = 0.0692
Standard deviation of the sampling distribution of X is 0.0692.
It means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.
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QUESTION FOR FOR LIH04
Answers
Please help me with this math, I do not get it!!
Answers
Answer:
Surface area= 230.625 (Add 28.125 if u need the top too)
Step-by-step explanation:
3.75x7.5= 28.125x2=56.25
3.75x9= 33.75x2=67.5
7.5x9=67.5x2=135
Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?
Answers
Answer:
Lower Quartile is 8 according to the diagram.
a salesman receives a fixed salary of $500 per week. in addition, he receives a 12% commision on his weekly revenue after the first $1000. write the formula that describes how his weekly salary s depends on his weekly revenue r.
Answers
The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.
Step-by-step explanation:
The formula that describes how the salesman's weekly salary s depends on his weekly revenue r is:
s = $500 + 0.12(r - $1000)
In this formula, s represents the salesman's total weekly salary, which includes both the fixed salary of $500 and the commission based on his weekly revenue. r represents the salesman's weekly revenue.
The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.
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