a.   Suppose that 5 % of the items produced by afactory are defective. If 5 items are chosen at random, what is theprobability that none of the items are defective? Write your answeras a decimal accurate to three decimal places.

b. Suppose that 7.9 % of the items produced by a second factoryare defective. If 5 items are chosen at random from the secondfactory, what is the probability that exactly one of the items isdefective? Write your answer as a decimal accurate to three decimalplace

c. Suppose that 10.8 % of the items produced by a third factoryare defective. If 5 items are chosen at random from the thirdfactory, what is the probability that exactly two of the items aredefective? Write your answer as a decimal accurate to three decimalplaces.

d. Suppose that 7.3 % of the items produced by a fourth factoryare defective. If 5 items are chosen at random from the fourthfactory, what is the probability that at least two of the items aredefective? Write your answer as a decimal accurate to three decimalplaces.

e. Suppose that 14.2 % of the items produced by a fifth factoryare defective. If 4 items are chosen at random from the fifthfactory, what is the expected value (or mean value) for the numberof defective items? Write your answer as a decimal accurate tothree decimal places.