Suppose 1% of students drink more than 3 cups of coffee each day. To check this claim, a researcher randomly selected a sample of 135 students and found that 2 drink more than 3 cups of coffee each day. What is the sampling distribution of the sample proportion? (Round your answers to four decimal places, if needed.)

(a) Is the distribution of the sample proportion of students drinking more than 3 cups of coffee each dayapproximately normal OR may not be normal? Why?

(b) What is the mean?

(c) What is the standard deviation?