Five percent of the many cars produced at a plant are defective. Ten cars made at the plant are sent to a dealership. Let X be the number of defective cars in the shipment.

a. Under what conditions can we assume that X is a binomial random variable?

b. Making the required assumptions, write the probability distribution of X.

c. What is the probability that two or more cars are defective?

d. What is the expected number of defective cars?