5.64 Garbage Collection A city administrator claims that 80% of all people in the city favour garbage collection by contract to a private concern (in contrast to collection by city employees). To check the theory that the proportion of people in the city favouring private collection is 0.8, you randomly sample 25 people and find that X, the number of people who support the commissioner's claim, is 22.

a. What is the probability of observing at least 22 people who support the administrator's claim if, in fact, p=0.8?

b. What is the probability that x is exactly equal to 22?

c. Based on the results of part

a, what would you con- clude about the claim that 80% of all people in the city favour private collection? Explain.