Use the following information to answer the next four exercises. 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 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.

83.

Define the random variable and list its possible values.

84.

State the distribution of X.

85.

Find the probability that at least four of the 25 patients actually have the flu.

86.

On average, for every 25 patients calling in, how many do you expect to have the flu?