If Y is an exponential random variable with parameters beta then mean = E(Y) =beta and variance squaared = V(Y) = beta squared. Show proof of this If Y is an exponential random variable with parameter ß, thenμ = E(Y) = 8 and o² = V(Y) = ².The proof follows directly from Theorem 4.8 with a = 1.

Answered: If Y is an exponential random variable…

If Y is an exponential random variable with parameter , then μ = E(Y) = 8 and o² = V(Y) = 8². The proof follows directly from Theorem 4.8 with a = 1.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 3(6x- x) Determine the mean and variance of the random variable for f(x) = 0<x< 6. 108 Round your…

Q: A standard logistic regression models the effect of age (20-29, 30-39, 40-49, 50-59, 60- 69) on…

A: The likelihood-ratio test for the hypothesis that age is continuous versus categorical involves a…

Q: Give the derivation of the variance for the binomial distribution.

A: X~Bin(n,p)

Q: Suppose X1,...,Xn are measurements of the mass of an object. The measurements are normally…

Q: If the correlation of the X's is equal to 1 or -1, then the regression cannot process. Why?

A: Correlation of X's means that the independent variables (IVs) are dependent on each other and this…

Q: Question 5 Let X1 and X2 be random sample of normal distribution with mean 1 and 2 and variance 3…

A: Solution

Q: Suppose that the random variable X has a lognormal distribution with parameters - = 0 and w? = 4.…

Q: Q scores were obtained randomly from selected twins at birth. For 20 such twins the linear…

A: Given that x- represent twin born first and x=105 Regression equation y= -3.02 + 1x

Q: The PDF of the random variable X is fx (x)=-; 0<x<9. 6√x What are i) mean, ii) the mean square value…

Q: model y = 25x^1.2, which is the linear regression model after transforming to a log-log graph?

A: To calculate the probability of drawing a silver marble, not returning it to the jar, and then…

Q: X” denote the number of children ever born to a woman, and let “Y” denote years of education for…

A: denote the number of children ever born to a woman, and let Y denote years of education for the…

Q: Prove that the fluctuation in one variable is given by the Gaussian formula with the corresponding…

A: Solution:- The Gaussian formula, also known as the normal distribution or the bell curve, is a…

Q: -generating function is as follows f(x)= 2x-1/16 , x=1,2,3,4 my answer is mean = 25/8, var = 170/16…

A: x 1 2 3 4 f(x) = 2x-116

Q: How can a regression model be used to predict an outcome? O Substitute the values of interest for…

A: It is given that the statement about to the regression model. Here, need to find out the correct…

Q: Where did we get the one over two-squared? I don't understand why it is one over 2^2 Variance…

A: Please find the explanation below.

Q: "What is the correlation coefficient for this condition? X is the voltage across a resistor, Y is…

A: We have given that the statement about to the correlation condition of X and Y. Note: According to…

Q: Suppose that X and Y are random variables where the conditional expected value of Y given X is given…

A: # random variable x and y such given E(y/x)=3*X+6 E(x)=0 & var(x)=9 Then to find minimum…

Q: There is a linear regression: Yi = B0+ B1(Xi^2)+ ei present, where Xi is squared. ei ∼ N(0,σ2). How…

A: Given the linear regression equation, Yi=β0+β1Xi2+ei , where ei~N0, σ2

Q: let x be a random variable with moment generating function Mx(t)=(0.6 + 0.4e^t)^20 then the variance…

Q: 2 Show that variance o? (x²) – ((x))²

A: Variance is a measure of dispersion.

Q: Compute co-efficient of correlation from the following given results: x =10, Edx = 0. Edy = 0,…

A: We have given that ∑(xi - x-)2 = 1350 , ∑(yi - y-)2 = 2180 ∑(xi - x-)(yi - y-) = 1590 I want to…

Q: 5.5.4. Let Y1, Y2, ..., Yn be a random sample from the uniform pdf fy(y; 0) = 1/0, 0 ≤ y ≤ 0.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the variance of the random variable X with a PDF given by 3x2 S* if - 1< x< 1, f(x) = 2…

Q: Estimate OLS estimators and Their variance Via Matrix notation

A: Objective of this question is that to estimate the OLS of regression line and also variance of OLS…

Q: Show that #z=0.

A: Suppose the random variable Y has a mean of 21 and a variance of 36. Let Z=( 1 /√36)(Y-21)

Q: Find the joint probability function of (X,Y) where

A: Provided information is, two cards are drawn at random from a box which has 5 cards numbered 1, 2,…

Q: 1) Find the MGF of the random variable X, the pdf is given by ,x E [0,1) ,х€ [1,5) ,otherwise f(x) =…

A: The moment generating function(MGF) for a random variable is given by MXt=EetX where E denotes…

Q: A standard logistic regression models the effect of age (20-29, 30-39, 40-49, 50-59, 60- 69) on…

A: To solve this problem, we first interpret the logistic regression model with age included as a…

Q: Show that the conditional variance can be written as σ^2 (X) = E { Y^2 | X} −(E[Y | X])^2 no…

A: A variance is a measurement of how far each individual in the dataset is residing from the mean and…

Q: The lifespan(in years) of radio is an exponentially distributed random variable with parameter λ=…

A: The lifespan (in years) of radio is an exponentially distributed random variable with parameter λ=…

Q: Determine the expected value of X^2. Determine the expected value of Y^2. Determine the variance of…

Q: X is a uniform random variable with expected value μx = 7 and variance Var[X] = 3. What is the PDF…

A: The objective of the question is to find the Probability Density Function (PDF) of a uniform random…

Q: Two mechanics are changing oil filters for the arriving customers. The service time has an…

A: Given that two mechanics are changing oil filters for the arriving customers. The service time has…

Q: (a)Find the probability that the selected bulb can survive for at least 3 years. (b)Find the…

A: Given,there are 5 types of bulbs.the lifetime of a bulb of type n follows an exponential…

Q: If X ∼ Gamma(2, 5), find E(X^2 ) andE(X^4 )

A: Solution: Let X follows gamma distribution with the parameters 2 and 5.

Q: Show that the characteristic function of a Gaussian random variable with zero mean and variance o2…

Q: Can logistic regression be used in both prospective and retrospective study? Will the odds ratios of…

A: Note: Hey there! Thank you for the question. As you have posted multiple questions, we have solved…

Q: Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter e >…

Q: Please don't copy Using XTWX for information matrix show the variance of the MLE of beta in…

A: In this problem, we are dealing with logistic regression and the calculation of the variance of the…

Q: 3- The variance of the random variable is the second derivative of the moment generating function…

A: The moment-generating function of a random variable X is: {\displaystyle M_{X}(t):=\operatorname…

Q: What happens if the dependent variables are not correlated with each other? Will you still be able…

A: MULTIPLE REGRESSION Reality in the public sector is complex. Often there may be several possible…

Q: If X is a random variable having a normal distribution with the mean μ and standard deviation σ, how…

A: Let X be a continuous random variable having a normal distribution with the mean μμ and standard…

Question

If Y is an exponential random variable with parameters beta then mean = E(Y) =beta and variance squaared = V(Y) = beta squared. Show proof of this

If Y is an exponential random variable with parameter ß, then
μ = E(Y) = 8 and o² = V(Y) = ².
The proof follows directly from Theorem 4.8 with a = 1.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose X is random variable with E(X^2)= 10 and E(X)=2. What is the variance of X? Suppose X is a random variable with Var(X) =20 and E(X^2). What is the mean of X?
the random variable Y is such that : E(2Y+3)=6 and Var(2-3Y)=11 find E(Y^2)
What is Pr(X = n) for a Poisson random variable with parameter l? What is E(X ) in this case?
Define Matrix Representations of OLS Regression Statistics?
Let x, x2, ..., Xn be a random sample from a Poisson distribution with parameter 2. Find ML estimator of 2. Also find its variance.
Calculate the variance of a random variable X whose characteristic function is (1+ e3it)² f(t) = 4
If i have a variable Sigma for standard deviation and Z(T) which is a wiener process. If we take expectation of the formula below, what is the outcome if we follow a normal distribution. My text book says the variable becomes (1/2*Var) Sigma = Standard deviation Z(T) = Wiener process E_0(Sigma*Z(T))
Two random variables X = (1,2) and Y= (-2,-1] are equiprobable and independent. Determine the correlation factor r(X,Y),
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
Answer all
Suppose Y is a random variable with E(Y) = 13 and Var(Y) = 6. Solve for the following: (show complete solution) a. E(3Y+ 10) = ? b. E(Y^2) = ? c. Var (10) = ? d. Var (5) = ?
There are two random variables X and Y, and their correlation coefficient pX,Y = 0.7. Now, we have two new random variables A = 2.5X+1 and B = 4Y+2. Please compute the correlation coefficient of A and B, PA,B Please round your answer to one decimal place.