STAT 2670 Worksheet 4-2 Summer 2022 71 Thursday, 6/23/2022 Page 1 of 2 STAT 2670 Worksheet 4-2 Summer 2022 71 Thursday, 6/23/2022 Page 2 of 2 Name: 3. Assume a waiting time follows a uniform distribution. Answer all questions and show all of your work. 1. When an adult is randomly selected, there is a 0.8 probability that this person likes 02- banana. Suppose that we have 5 guests. P(X) (a) Find the probability that exactly 2 of them like bananas. Area = 1 (b) Find the probability that at least one of them like bananas. x (waiting time in minutes) (a) Find the probability that you wait at least 3 minutes. c) Find the mean number, variance, and standard deviation of people who liked banana among 5. (b) Find the probability that you wait at most 2 minutes. 4. Assume we have a random variable Z which follows the standard normal distribution. Find the following probabilities. (a) P(Z -1.01) (b) We have a sample with 100 that 78 out of the sample like bananas. Is this (d) P(-0.01