Suppose your firm is buying five new computers. The manufacturer offers a warranty to replace any computer that breaks down within three years. Suppose there is a 25% chance that any given computer breaks down within three years. a. What is the probability that exactly one of the computers breaks down within five years? b. What is the probability that at least one of the computers breaks down within five years? c. Suppose the warranty for five computers costs $700, while a new computer costs $600. Is the warranty less expensive than the expected cost of replacing the broken computers? 2/ David Barnes and his fiancée Valerie Shah are visiting Hawaii. There are 20 guests registered for orientation. It is announced that 12 randomly selected registered guests will receive a free lesson of Tahitian dance a. b. c. What is the probability that both David and Valerie get picked for the Tahitian dance? What is the probability that neither of them gets picked for the Tahitian dance lesson? Calculate the expected value and its standard deviation.