Question: A nationwide study in 2003 indicated that about 60% of college students with cell phones send and receive text messages with their phones. Suppose a simple random sample of n = 1136 college students with cell phones is obtained.

a) Describe the sampling distribution of \(\hat{p}\), the sample proportion of college students with cell phones who send or receive messages.

b) What is the probability that 665 or fewer college students in the sample send and receive text messages with their phones? Is this result unusual?