A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. Four cases of this tumor occurred in a certain town, which has 16532 children.

a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of

16,532 children.

b. Using the unrounded mean from part(a), find the probability that the number of tumor cases in a group of

16,532 children is 0 or 1.

c. What is the probability of more than one case?

d. Does the cluster of four cases appear to be attributable to random chance? Why or why not?