Question: 6.85 From the relationship between the chi-squared random variable and the gamma random variable, prove that the mean of the chi-squared random variable is v

6.85 From the relationship between the chi-squared random variable and the gamma random variable, prove that the mean of the chi-squared random variable is v and the variance is 2v.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Inferential Statistics Questions!

Form the relationship between the chi-squared random variable and the gamma random variable, prove that the mean of the chi-squared random variable is v and the variance is 2v.

From the relationship between the chi-squared random variable and the gamma random variable, prove that the mean of the chi-squared random variable is v and the variance is 2v.

If Xi, i = 1, . . . , n are independent normal random variables, with Xi having mean i and variance 1, then the random variable n i=1X2 i is said to be a noncentral chi-squared random variable. (a)...

AssignmentI 1 . In a certain city, the daily consumption of water ( in million of litres ) follows a gamma distribution with = 2 and = 3 . If the daily capacity of that city is 9 million litres of...

Help me solve the following questions. 1 Calculate E(X |Y =10) for the joint distribution: Y 10 20 30 0.2 0.2 0.1 X D.2 0.3 0 2 The random variable V has a Poisson distribution with mean 5. For a...

Activity Directions: Consider a scenario in which several processes compete for access to the same resource (e.g., a file or some memory address). When a process is starved due to resource...

43. The density function of a chi-squared random variable having n degrees of freedom can be shown to be where (t) is the gamma function defined by Integration by parts can be employed to show that...

Table of z values and probabilities for the standard normal distribution. z is the first column plus the top row. Each cell shows P( X z). For example P( X 1.04) = .8508. For z

Provide step by step solution to the following questions. The random variable X has a normal distribution with mean # and variance o', such that the probability density function of X is: fx (x) (i)...

Professor G now has $50,000 in an investment earning 4.8%. He invests $5,000 at the end of each year. How long will it take his account to reach $150,000?

Give reasons for a handover in GSM and the problems associated with it. What are the typical steps for handover, what types of handover can occur? Which resources need to be allocated during handover...

About 7 0 % of the firms that use Automatic Encoliment for employee saving plans also use Automatic Escalation. True Talue

According to the capital structure theory, companies with promising business opportunities should strive to maintain a conservative capital structure. Why?