One of your employees has suggested that your company develop a new product. A survey is designed to study whether or not there is interest in the...

One of your employees has suggested that your company develop a new product. A survey is designed to study whether or not there is interest in the new product. The response is on a 1 to 5 scale with 1 indicating denitely would not purchase...and 5 indicating denitely would purchase. For an initial analysis, you will record the responses 1, 2, and 3 as No, and 4 and 5 as Yes.

a. 5 people are surveyed. What is the probability that at least 3 of them answered Yes?

b. 100 people are surveyed. What is the approximate probability that between 45% to 52% of people answered Yes?