From past history, a service manager at Honest Abe’s Auto Dealership knows that 35 % of all customers entering the dealership will have service work done that is under warranty. Suppose 200 people enter the dealership for service work on their cars.

(a) What is the mean of the sample proportion of customers having work done that is covered by the warranty?

(b) What is the variance of the sample proportion?

(c) What is standard error of the sample proportion?

(d) What is the probability that the sample proportion is between .25 and .40?