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The records of an Italian shoe manufacturer show that 20% of the shoes are

defective. Assume that selection of shoes follow a Bernoulli trial.

a. If a manufacturer inspects 15 shoes randomly, what is the probability that at

most two shoes are defective?

b. If a manufacturer wants to find 6 non-defective shoes, what is the probability

that 12 shoes have to be inspected?

c. Find the expected number of inspected shoes to find 6 non-defective shoes.