The manager of Sam's Food Mart guarantees that none of his cartons containing a dozen eggs will contain morethan one bad egg, despite the fact that 1.5% of individual eggs are known to be bad.Define the random variablexto be the number of bad eggs observed in a carton containing 12 eggs.

a. Find the probability that a randomly selected carton will contain no bad eggs.Round your answer to at leastthree decimal places.

b. If a carton contains more than one bad egg, the manager will replace the entire dozen and allow the customer to keep the original eggs.Find the probability that the manager will have to replace a randomly selected carton of eggs.Round your answer to at leastthree decimal places.

c. Interpret the meaning of your answer to part b.