Question: The service manager for a new applications store reviewed sales records of the past 20 sales of new microwaves to determine the number of warranty repairs he will be called on to perform in the next 90 days. Corporate reports indicate that the probability any one of their new microwaves needs a warranty repair in the first 90 days is 0.05. The manager assumes that calls for warranty repair in the first 90 days are .05. The manager assumes that calls for warranty repairs he will be called on to perform in the next 90 days for this batch of new microwaves sold.

a. What type of probability distribution will most likely be used to analyze warranty repair needs on new microwaves in this situation?

b. What is the probability that none of the 20 new microwaves sold will require a warranty repair in the first 90 days?

c. What is the probability that exactly two of the 20 new microwaves sold will require a warranty repair in the first 90 days?

d. What is the probability that at most two of the 20 new microwaves sold will require a warranty repair in the first 90 days?

e. What is the probability that between two and four (inclusive) of the 20 new microwaves sold will require a warranty repair in the first 90 days?