Question: Show that if X is a random variable having a student's 1' distribution with k degrees of freedom, then var[X]=k/(k-2)i

Show that if X is a random variable having a student's

Show that if X is a random variable having a student's 1' distribution with k degrees of freedom, then var[X]=k/(k-2)i

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 Mathematics Questions!

Q:

Suppose X has the multivariate normal distribution in Rk with unknown mean vector h and known positive definite covariance matrixC1. Consider testing h = 0 versus |C1/2h| b for some b > 0, where ||...

Q:

Suppose X has the multivariate normal distribution in Rk with unknown mean vector h and known positive definite covariance matrix C1. Consider testing h = 0 versus |C1/2h| b for some b > 0, where ||...

Q:

.2 3. Let X,, X, be a random sample from the N(0, 0) distribution, and let Y,..., Ym be a random sample from the N(1, 0) distribution that is independent of the Xi's. Here, and are unknown. Define =...

Q:

Hi, help.thanks Problem 31. lConsider four independent rolls of a Bsided die. Let X be the number of la and let Y be the number of is: obtained. \"mat is the joint PMF' of X and Y? Problem 32. D....

Q:

Can someone please help with this? 5.68 If we use the Metropolis Algorithm rather than the Accept/Reject Algorithm we are freed from verifying the supremum condition of the Accept/Reject Algorithm....

Q:

a. Bernoulli trial is an "experiment" with two possible outcomes. One outcome (called "success") occurs with probability p and the other outcome (called "failure") occurs with probability 1 - p. An...

Q:

Please solve this Let X1, . . . , X\" be a random sample from the density f(I|3) = 92I_gxf(o,m)($), where Q = {6 : 9 > 0} is the parameter space. a) Consider the problem of testing H9 : 6 = 60 versus...

Q:

Based on the result of Exercise 8.24, show that if X is a random variable having a chi square distribution with v degrees of freedom and v is large, the distribution of X v / 2v can be approximated...

Q:

please help Task 5 [Independent random variables} [} Let X and Y be independent random variables. Let f, g : IR 3- R be Bowl-measurable functions1 meaning that f'lf} E B[R}jg_l[C} E BUR} for any AC E...

Q:

Let X be a random variable that follows the Nb(r, p) distribution. Show that for any positive integer k, the quantity Incidentally, the quantity ????[k] is called an ascending factorial moment of...

Q:

A thin-walled pipe of 10 cm diameter is used to carry hot steam at a pressure of 2.5 MPa. The pipe is made with a steel with Young's modulus of 200 GPa, yield strength of 1000 MPa and fracture...

Q:

Determining Merchandise Amounts?Periodic Two or more items are omitted in each of the following tabulations of income statement data. Fill in the amounts that are missing. 2009 2010 2011 $290.000...

Q:

Social Security will not receive adequate funding due to the increase in the number of elders. True False

Q:

TASK 1: Select four (4) countries and do a research of a law that protects whistleblowers in each country. TASK 2: I dentify the article/section of the law that specifically addresses whistleblowing....

Q:

1. Discuss the following statements: a) What we seek to achieve is different from why we seek to achieve it. b) Thoughts are different from what we are thinking about. c) Writing to find out what one...

Q:

2. Provide new information and before 20 seconds have elapsed, add more infor-mation. The initial information will then be lost from memory for most people.

Q:

7. What is the extent (percentage) of errors detected in the information collected?