An organization is looking for volunteers to participate in a research project. It is planned to select random people and ask if they want to participate in the research. The probability that a person agrees to participate is 1%. Suppose that the organization needs 20 participants.

(a) If 200 random people are selected, what is the probability that exactly 20 of them will agree to participate in the project?

(b) What is the probability that at least 20 people among those 200 will agree to participate?

(c) Find the minimum number of random people that need to be selected in order to find 20

participants with probability at least 90%.

Use Excel to solve this problem (you will need the function BINOM.DIST).