Form of the binomial PMF. Consider a binomial random

Chapter , Problem 9

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Form of the binomial PMF. Consider a binomial random variable X with parameters n and p. Let k* be the largest integer that is less than or equal to (n + l)p. Show that the PMF px (k) is monotonically nondecreasing with k in the range from 0 to k* . and is monotonically decreasing with k for k k* .

Questions & Answers

QUESTION:

Form of the binomial PMF. Consider a binomial random variable X with parameters n and p. Let k* be the largest integer that is less than or equal to (n + l)p. Show that the PMF px (k) is monotonically nondecreasing with k in the range from 0 to k* . and is monotonically decreasing with k for k k* .

ANSWER:

Step 1 of 2

It is given that, Consider a binomial random variable X with parameters n and p Let k be the largest integer that is less than or equal to.

We will consider the ratio and find when it is greater than or less than 1.

We have

                                        

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