The Beta distribution with parameters a = 3, b = 2 has PDF f(x) = 12x2 (1 x), for 0 < 1

Chapter 5, Problem 8

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

The Beta distribution with parameters a = 3, b = 2 has PDF f(x) = 12x2 (1 x), for 0 < 1. (We will discuss the Beta distribution in detail in Chapter 8.) Let X have this distribution. (a) Find the CDF of X (b) Find P(0

Questions & Answers

QUESTION:

The Beta distribution with parameters a = 3, b = 2 has PDF f(x) = 12x2 (1 x), for 0 < 1. (We will discuss the Beta distribution in detail in Chapter 8.) Let X have this distribution. (a) Find the CDF of X (b) Find P(0

ANSWER:

Step 1 of 4

Given that a random variable follows the beta distribution with parameter has the pdf

                (i)

To find the CDF of .

Suppose, be the CDF of .

Then,

Hence, the CDF can be defined as,

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back