Question: Using the moment generating function, find the mean and the variance of a discrete random variable X that has a) Uniform distribution b) Binomial distribution

Using the moment generating function, find the mean and the variance of a discrete random variable X that has 

a) Uniform distribution 

b) Binomial distribution 

c) Geometric distribution 

d) Poisson distribution

Step by Step Solution

★★★★★

3.42 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a y Here we will Soluti ekt 1 kt 2 3 Let X shows the uniform distribution MGF of uniform ... 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 Accounting Questions!

Q:

The mode of a discrete random variable X with pmf p(x) is that value x* for which p(x) is largest (the most probablex value). a. Let X~Bin(n, p). By considering the ratio b(x + 1; n,p)/b(x; n, p),...

Q:

A discrete random variable x can assume five possible values: 20, 21, 22, 23, and 24. The following Minitab histogram shows the likelihood of each value. a. What is p(22)? b. What is the probability...

Q:

A discrete random variable x can assume five possible values: 2, 3, 5, 8, and 10. Its probability distribution is shown here: a. What is p(5)? b. What is the probability that x equals 2 or 10? c....

Q:

find and interpret the mean and standard deviation of a discrete random variable.

Q:

5.22 Briefly explain the concept of the mean and standard deviation of a discrete random variable.

Q:

48. Let X have the moment generating function of Example 3.29 and let YX1. Recall that X is the number of people who need to be checked to get someone who is Rh, so Y is the number of people checked...

Q:

Use Theorem 5.9 to find the moment generating function of Y = X λ, where X is a random variable having the Poisson distribution with the parameter λ, and use it to verify...

Q:

We can take the approach to selecting a prior distribution for a population proportion p proposed in Exercise 11 one step further. Recall that the variance of a beta random variable, Y, is given by...

Q:

Find the mean and variance of a discrete random variable X having the probability function f(0) = 1/4, f(1) =1/2, f(2) = 1/4.

Q:

Prove Theorem 2.24. That is, suppose that \(X\) is a random variable with moment generating function \(m_{X}(t)\) that exists and is finite for \(|t| 0\). Suppose that \(Y\) is a new random variable...

Q:

Wade Company estimates that it will produce7,000units of product IOA during the current month. Budgeted variable manufacturing costs per unit are direct materials $5, direct labor $11, and overhead...

Q:

The Smart Manufacturing Company has a cycle time of 3.0 days, uses a Raw and In Process account and charges all conversion costs to Cost of Goods Sold. At the end of each month, all inventories are...

Q:

Current ROI = 18%, there is a chance to invest in a project that requires $100,000 purchase of assets, which would produce $15,000 additional net income. Should the manager invest or not invest in...

Q:

Question: Write a MATLAB script to visualize a 3D plot of a mathematical function, specifically the "Ackley's function." Ackley's function is defined as:f(x,y)=?20exp(?0.2...

Q:

a) At 1 May 2019 Troy company had 700 engines in inventory, valued at Tk. 190 each. During the year ended 30 April 2020 the following transactions took place: 2019 1 July Purchased 500 engines at TK...

Q:

Jane inherited a lot of money and wants to deposit some of it today into an investment that earns a nominal interest rate of 5% compounded semiannually. Starting immediately 10 years after the...

Q:

Luke's Motor Vehicle Traders recently purchased some machinery to be used in the business. The firm incurred a number of costs relating to the purchase. Which of the following costs would be accrued...

Q:

Perform the indicated operations. In designing a cam for a fire engine pump, the expression is used. Simplify this expression. (3) (3 4 32

Q:

The following are the heat- producing capacities of coal from two mines (in millions of calories per ton): Assuming that the data constitute independent random samples from normal populations with...

Q:

Prove the three parts of Theorem 4.10. Theorem 4.10 If a and b are constants, then 1. 2. 3. My+a (t) = E[eA+1]-eat-MX(t); bXt

Q:

A hat contains 20 white slips of paper numbered from 1 through 20, 10 red slips of paper numbered from 1 through 10, 40 yellow slips of paper numbered from 1 through 40, and 10 blue slips of paper...

Q:

If Fisher discards the rational world paradigm, why does he advocate narrative rationality? How are they different?

Q:

Aristotle spent a great deal of time discussing the role of the audience. If you were giving a speech on safety to a group of convenience store employees, what sort of audience analysis would you...

Q:

Burke believes that symbols, and language, in particular, are critical in life. When he says that symbolic action is more than mere physical or material reality, what do you think he means?