Question 5 A doctor has found that 80% of his consultations are with people with u (inuenza) symptoms. The doctor has 15 consultations booked for the day. a) What is the probability that more than 7, but at most 13, of the consultations will be with people who have u symptoms? b) What is the probability that at most two-thirds of the consultations will be for people with u symptoms? c) The doctor can expect k of the consultations to be with people with u symptoms. What is the value of k ? d) What is the distribution of the random variable that gives the number of consultations that are with people who do not have u symptoms? e) How many of the consultations can the doctor expect to be with people who do n_ot have u symptoms? f) Comment on your answers in part (c) and (e)