1. A financial analyst has developed the follow probability distribution of the rate of return for a common stock. a. Calculate the expected rate of return. b. Calculate the variance and the standard deviation of this probability distribution. 2. At a local community college, 40% of students who enter college as a freshmen go on to graduate. Ten freshman are randomly selected. a. What is the probability that none of them graduates from the local college? b. What is the probability that at most nine will graduate from the local college? c. What is the expected number that will graduate? 3. Motorists arrive at a Gulf gas station at the rate of two per minute during moming hours. a. What is the probability that more than two motorists will arrive at the Gulf station during a one-minute interval in the morning? b. What is the probability that exactly six motorists will arrive at the Gulf gas station during a five-minute interval in the morning? c. How many motorists can an employee expect in her three-hour morning shift