Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. the probability density function of the random var

The probability density function of the random variable X is given by fX(x) = ax +...

50.1K

Verified Solution

Question

Basic Math

The probability density function of the random variable X isgiven by fX(x) = ax + 2/9 if 1/2 ? x ? 3, and 0 otherwise.

(a) Compute the value of a.

(b) Let the random variable Y be defined as Y = [X], where [·]is the “round down” operator (that is, for example, [2.5] = 2,[?2.5] = ?3, [?3] = ?3). Find the probability mass function of Y .(Hint: For Y to take value k, what values should X take?)

(c) Compute Var(Y )

I am confused with part B.

Answer & Explanation Solved by verified expert
4.3 Ratings (630 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Using the table and symbol functions in MSWORD, solve the following proof, making sure to number...

Advance Math
Q

Use the Gram-Schmidt process to construct an orthogonal basis of the subspace of V = C...

Advance Math
Q

If a magnetic field H 3a 4a A m exists at a point in free...

Physics
Q

possible AB and BA If it is not possible explain why 44 01 A A...

Basic Math
Q

Find the LCD for each set of rational expressions 12x 15x 60 and 5 x...

Algebra
Q

Anyone can help me? Johnstone Company is facing several decisions regarding investing and financing activities....

Accounting
Q

Problem 5. (20points) An electronics company is trying to determine to which new...

Accounting
Q

Select one of the following independent cases. Each student should select a different case. For...

Accounting
Q

Question 1 Harbour Inc. collected the following data for the first six months of the...

Accounting
Q

Exercise 8-9 Nash Company sells one product. Presented below is information for January for Nash...

Accounting
Q

4 cussion -Exam-2 Johnson Winery in Pleasant Valley, New York, has two departments Fermenting and...

Accounting
Q

You would like to invest your savings in a bank and receive various offers. Your...

Finance