The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that eight calls are placed to the airline.
(a) What is the probability that for exactly two calls the lines are occupied? Round your answer to four decimal places (e.g. 98.7654).
(b) What is the probability that for at least one call the lines are occupied? Round your answer to four decimal places (e.g. 98.7654).
(c) What is the expected number of calls in which the lines are occupied? Round your answer to one decimal place (e.g. 98.7).