Suppose there are 3 defective items in a lot (collection)

Chapter 2, Problem 10E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 10E

Suppose there are 3 defective items in a lot (collection) of 50 items. A sample of size 10 is taken at random and without replacement. Let X denote the number of defective items in the sample. Find the probability that the sample contains

(a) Exactly one defective item.

(b) At most one defective item.

Questions & Answers

QUESTION:

Problem 10E

Suppose there are 3 defective items in a lot (collection) of 50 items. A sample of size 10 is taken at random and without replacement. Let X denote the number of defective items in the sample. Find the probability that the sample contains

(a) Exactly one defective item.

(b) At most one defective item.

ANSWER:

Step 1 of 4:

Given that a lot of 50 items contain 3  defective items. A sample of size 10 is chosen at random without replacement and X denotes the number of defective items in the sample.

Therefore X follows hyper geometric distribution with m=3,N=50 and n=10.

That is X~Hypergeometric (N=50,m=3,n=10).


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