Ten items are to be sampled from a lot of 60. If morethan

Chapter 4, Problem 13E

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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.

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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


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