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Ten items are to be sampled from a lot of 60. If morethan
Chapter 4, Problem 13E(choose chapter or problem)
Ten items are to be sampled from a lot of 60. If more than one is defective, the lot will be rejected. Find the probability that the lot will be rejected in each of the following cases.
a. The number of defective items in the lot is 5.
b. The number of defective items in the lot is 10.
c. The number of defective items in the lot is 20.
Questions & Answers
QUESTION:
Ten items are to be sampled from a lot of 60. If more than one is defective, the lot will be rejected. Find the probability that the lot will be rejected in each of the following cases.
a. The number of defective items in the lot is 5.
b. The number of defective items in the lot is 10.
c. The number of defective items in the lot is 20.
ANSWER:
Answer:
Step 1 of 4:
Given, we have a lot of 60 items, in that 10 items are sampled.
If more than one is elective, the lot will be rejected
Let X follows Hypergeometric distribution with probability mass function is
P(x) =
X~H(60 k, 10).
From the given problem, N = 60, and n = 10