The mean number of imperfections in the weave of a certain textile is of four per square yard. a) Find the probability that a 3-square-yard sample will contain at least one imperfection. b) The cost of repairing the imperfections in the weave is $10 per imperfection. Find the mean and standard deviation of the repair costs for an 8-square-yard bolt of the textile in question.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The mean number of imperfections in the weave of a certain textile is of four per square yard.

a) Find the probability that a 3-square-yard sample will contain at least one imperfection.

b) The cost of repairing the imperfections in the weave is $10 per imperfection. Find the mean and standard deviation of the repair costs for an 8-square-yard bolt of the textile in question.

(c) If a random sample of size 10 such that each of which is one square-yard, find the probability that at least 3 of them have no imperfection. 

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