Typewritten if possible with solution

2. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 50 patients calling in claiming to have the flu, let X be the number of patients in the sample that actually have the flu. a) (4pt) Explain why X is a binomial random variable. b) (1pt) On average, for every 50 patients calling in, how many do you expect to actually have the flu? c) (2pt) What is the probability that exactly 5 of the 50 patients actually have the flu? d) (4pt) What is the probability that less than two of the 50 patients actually have the flu