A certain drug treatment cures 90% of cases of hookworm in children. Suppose that 20 children suffering from hookworm are to be treated, and that the children can be regarded as a random sample from the population. Find the probability that:
a. all 20 will be cured
b. no more than 2 will be cured
c. at least 1 will be cured
d. more than 78% will be cured
e. What is the mean and standard deviation of the number of cured out of 20?
f. What is the mean and standard deviation of the proportion of cured out of 20 (Hint: if you define a variable to be the number cured out of 20, the proportion is).
