Question: Let X be a discrete random variable with pmf f(x) = x/10 , x = 1, 2, 3, 4. Compute the following: (a) The cumulative

Let X be a discrete random variable with pmf f(x) = x/10 , x = 1, 2, 3, 4. Compute the

following:

(a) The cumulative distribution function of X. Sketch the cdf.

(b) The mean E(X).

(c) The variance Var(X).

(d) Compute the mgf of X.

(e) Compute the mean of X using the mgf.

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:

1. Describe a sample space in rolling two six-side fair dice. Define the events: A= (at least one "6" appears), B= (the sum of dots on the dice is divisible by 3). Find AUB, A0B, A-B, B-A, A', B',...

Q:

Let X be a discrete random variable with pmf f(x) = log10 x + 1 x , x = 1, 2, , 9. (This distribution, known as the Benford distribution, has been shown to accurately model the probabilities of the...

Q:

NT #1 Let X be a discrete random variable with pmf ax2 + c x = 0, 1,2, 3, 4 p(a) = 0 otherwise a) If p(0) = .14, then what must the values of a and c be for p(x) to be a legitimate pmf? b) Find E(X2...

Q:

Let X be a discrete random variable with the support, Supp(X) = {0, 1, 2, . . . }. The probability mass function (PMF) of X is as follows: f(x) = p(1 p)*, where 0

Q:

1. Let X be a discrete random variable that may assume values x = 0; 1; 2 respectively with probabilities p1; 0:5; p2. Which values of p1 and p2 define a probability distribution? A p1 = 0.5 and p2 =...

Q:

Asap plz.explained answers. Three similar methods of determining the biological oxygen demand of a waste stream are compared. Two technicians who are experienced in this type of work are available,...

Q:

Page 1 of 9 SIT787 -Mathematics for Al Assignment 3 Related to the content of Weeks 6-10 Trimester 2, 2024 Important notes: e Submission deadline can be found on the unit website. Your submission can...

Q:

Could you check my answer and if they are not correct answer then with an explanation please thanks so much. Question 2: Roll a Die Twice (30 marks) Roll a fair dice twice. Let X be a discrete random...

Q:

. Let X be a discrete random variable with sample space S = {1, 2, 3, 4, 5, 6}. (a) Come up with a probability mass function (pmf) f(x) for X of your choosing and write the function in table format....

Q:

. Provide solutions to the folly questions State whether the following statements are true (T) or false (F). If a state- ment is true, brieyr explain why. If a statement is false, either briefly...

Q:

If rows 1 and 2 are the same, how far can you get with elimination (allowing row exchange)? If columns 1 and 2 are the same, which pivot is missing? Equal rows: Equal columns: 2x = y + z = 0 2x = y +...

Q:

The accompanying table gives the cost and an overall quality rating for 10 different brands of mens athletic shoes and nine different brands of womens athletic shoes (www.consumerreports.org). a....

Q:

CA18.5 (LO 1, 2) (Explain Computation of Deferred Tax Liability for Multiple Tax Rates) At December 31, 2025, Higley Corporation has one temporary difference which will reverse and cause taxable...

Q:

The real risk-free rate is 2.0% and inflation is expected to be 3.75% for the next 2 years. A 2 -year Treasury secunty yielde 6.35%. What is the matunty risk premium for the 2 -year security? Round...