In an exit poll, suppose that the mean of the sampling distribution of the proportion of the 3130 people in the sample who voted for recall was 0.55 and the standard deviation was 0.0089. Answer the following questions.
(a) Define a binary random variable taking values 0 and 1 that represent the vote for a particular voter (1 = vote for recall). State its probability distribution. Choose the sentence below that best describes the probability distribution?

A. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.65 and P(0) = 0.35.
B. For each random sample of 3180 people, about 2067 people voted for recall and 1113 did not.
C. The binary random variable is the vote for the recall with yes or no. For each observation, P(1) = 0.35 and P(0) = 0.65.
D. For each random sample of 3180 people, about 1113 people voted for recall and 2067 did not.

(b) Find the mean and standard deviation of the sampling distribution of the proportion of the 3180 people in the sample who voted for the recall. (Round to two decimal places as needed.)