During the winter, it is believed that 71% of individuals who are not vaccinated will develop for the flu. Suppose that a sample of n = 400 individuals who have not been vaccinated are observed for the winter period. Let p denote the proportion of cases in this sample that develop for the flu.

40. Find the probability that the sample proportion, p, is between 0.703 and 0.749

41. Find the probability that the sample proportion, p, is at most 0.722

42. Find the probability that the sample proportion, p, is at least 0.7.

43. Find the probability that the sample proportion, p, is less than 0.681 or more than 0.759.