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Cappelli Inc. designs and manufactures women's apparel using material from various mills. Their acceptance sampling plan states that 20 two inch squares of the incoming material must be carefully checked. If 3 or less squares reveal imperfections, the lot is accepted. What is the probability that an incoming lot from Blufton Mills that contains 40 percent imperfect cloth will be accepted?

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4 votes

Answer:

0.015961

Explanation:

Given that Cappelli Inc. designs and manufactures women's apparel using material from various mills.

Their acceptance sampling plan states that 20 two inch squares of the incoming material must be carefully checked. If 3 or less squares reveal imperfections, the lot is accepted

Here no of defects in the 20 checked is Binomial because each trial is independent and there are only two outcomes.

X = no of defects is Bin (20, 0.4)

The probability that an incoming lot from Blufton Mills that contains 40 percent imperfect cloth will be accepted

=
P(X\leq 3)\\=0.015961

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