3. About 68% of the students at Fairview Community College favor a new policy regarding parking on campus. Suppose we are interested in the proportion of 65 students in a mathematics class who favor the policy.

(a) Is the normal approximation to the proportion pˆ = r/n valid? Explain.

(b) What is the probability that the proportion of the class who favor the policy is at least two fifths?

(c) What is the probability that the proportion of the class who favor the policy is no more than 70%?

4. According to the school board, 48% of all the voters in the district support the referendum. Suppose a principal is interested in the proportions who support the referendum in a group of 38 parents.

(a) What are the values of n and p?

(b) What is the probability that the proportion of the group who support the referendum is at least two thirds?

(c) What is the probability that the proportion of the group who support the referendum is no more than 20%?