2a) Horwege Discount Brokers plans to hire five new financial analysts this year. There is a pool of 12 approved applicants, and George Horwege, the owner decided to randomly select those who will be hired. There are eight men and four women among the approved applicants. What is the probability that three of the five hired are men?
2b). About 6.7 of police cars on the average arrive at the gate of Thompson Rivers University every hour. Define the random variable X to be the number of police cars arriving in any hour.
bi). What is the appropriate probability distribution for X? Explain how X satisfies the properties of the distribution.
bii). Compute the probability that no more than 5 police cars will arrive in the next hour.
3a). The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 15 minutes and 2 1/2 hours. Compute the probability that a patient would have to wait over 2 hours.