Solution Found!
Suppose there are 3 defective items in a lot (collection)
Chapter 2, Problem 10E(choose chapter or problem)
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).