In the name of God
Probability and Statistics- HW3 Solutions
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The right expression can be derived using integration by parts.
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y=
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Each raisin will be in a specific bread with the probability of 1/k . Let X be the number of raisins in a
specific bread. X has a binomial distribution with parameters n and p=1/n .since n and k are large
enough, X can be estimated using Poisson random variable with parameter
P(there will be at least one raisin in a specific bread) = P(X
10)
)(
P(Z=1)=P(Z
))
=0.32
.