Question: According to Gallup, about 33% of Americans polled said they frequently experience stress in their daily lives. Suppose you are in a class of 45 students.

a. What is the probability that no more than 12 students in the class will say that they frequently experience stress in their daily lives? (Make sure to identify the sampling distribution you use and check all necessary conditions.)

b. If 20 students in the class said they frequently experience stress in their daily lives, would you be surprised?

Explain, and use statistics to support your answer.