A flu test shows that about 31% of all patients visited hospital in two weeks had flue this season. Each person visit was independent of the others. Suppose that 90 patients participated in survey since the New Year, and they are each independent of each other. Use the calculator options binompdf or binomcdf to find the probability of success in following questions:

a) What is the probability that exactly 22 of these 90 people had flue?

b) What is the probability that no more than 36 participants had flue?

Round your answers to the nearest thousandths place.