Question: The continuous uniform random variable X has density function (a) Show that the moment-generating function is (b) Use MX t ( ) to find the

The continuous uniform random variable X has density function

F(x) =, asiSB asx<B B-a

(a) Show that the moment-generating function is

e' Mx(t) = 1(B-a)

(b) Use MX t ( ) to find the mean and variance of X.

F(x) =, asiSB asx

Step by Step Solution

★★★★★

3.36 Rating (183 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b dM x tdt is undefined at t 0 since there is t 2 in the denominator Indeed it ... View full answer

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 Applied Statistics and Probability Questions!

Q:

A random variable X has density function proportional to Use R to find P(1/8

Q:

The random variable X has density function f given by (a) Determine K in terms of θ. (b) Find FX(b), the CDF of X. (c) Find E(X). (d) Suppose for OS vs 0. elsewhere.

Q:

A random variable X has density function proportional to x 5 for x > 1. (a) Find the constant of proportionality. (b) Find and graph the cdf of X. (c) Use the cdf to find P(2

Q:

I NEED HELP ASAP.BE SURE TO ANSWER 3.64. (a) Find the moment generating function of a random variable X having density function (b) Use the generating function of (a) to find the first four moments...

Q:

A random variable X has the Poisson distribution (a) Show that the moment-generating function is (b) Use MX (t) to fi nd the mean and variance of the Poisson random variable. f(x) = %3D0,1,... x!...

Q:

Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). f (x) = 5x 4 , 0 x 1 Let X be a continuous...

Q:

Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). f (x) = 12x(1 - x) 2 , 0 x 1 Let X be a...

Q:

Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). Let X be a continuous random variable whose...

Q:

Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). Let X be a continuous random variable whose...

Q:

Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). Let X be a continuous random variable whose...

Q:

A company has assets of $500,000, current liabilities of $60,000, and long-term liabilities of $150,000. There is $50,000 in preferred stock outstanding; 35,500 shares of common stock have been...

Q:

In April, a tornado damages the house owned by Delbert and Debbie. The damaged residence required extensive repairs, making it necessary for Delbert and Debbie to move into a motel and eat their...

Q:

Dividends can be cash dividends or stock dividends and share buybacks can be either to keep as treasury stock or to reduce share count. Which of the following will show up in the financing section? a...

Q:

5 There would be very few comedians in a barter economy. Do you agree or disagree with this statement? Explain your answer.

Q:

What is the z transformation of .34? Hematology The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. Table 11.17: Hematologic data for patients with aplastic anemia

Q:

What test procedure can be used to compare the two correlation coefficients? Pulmonary Function Suppose the correlation coefficient between FEV for 100 sets of identical twins is .7, whereas the...

Q:

Perform the procedure in Problem 11.9 using the critical-value method? Pulmonary Function Suppose the correlation coefficient between FEV for 100 sets of identical twins is .7, whereas the comparable...

Q:

help in this he success of the Cellar Door has resulted in more customers visiting the winery on Saturdays and Sundays.The cellar door manager would like you to simulate if there are sufficient sales...

Q:

please show the workdo not use Excel. thank you so much NU Inc outstanding bonds have a $1,000 par value which were issued 9 years ago. At the time of issuance, these bonds had a 20 year maturity and...

Q:

t answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your...