Chapter 12, Problem 12.48E

(a)

To determine

To find out what distribution does X follow and give the mean and standard deviation of X .

(b)

To determine

To find the probabilities $P(X\le 15),P(X\le 30),P(X\le 67)$ and also the probability that there would be $68$ or more cases of mumps in one week in the United States.

(c)

To determine

To explain do these data support the idea that mumps cases are random and independent with a mean of $11$ cases per week.