Andy is a restaurant owner. He believes 79% of his customers are satisfied with the food quality of his restaurant. From a random sample of 71 customers, what are the following probabilities? (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.) (a) What is the probability that less than 56 customers are satisfied with the food quality? (b) What is the probability that at least 56 customers are satisfied with the food quality? (c) What is the probability that the sample proportion of customers who are satisfied with the food quality is between 76% and 83%?

A group of 11 students' cholesterol levels are tested. Suppose the probability of a student having a healthy cholesterol level is 0.25. What is the probability that exactly seven out of 11 students have healthy cholesterol levels? (Round your answer to three decimal places.)

I'm confused as to what distrubution I should use to solve this probability. When tall and colorful plants are crossed with short and colorless plants, four types of plants will result:  tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities:  0.37, 0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.

According to a study, 20% of corporate officers are women. Suppose that you select a random sample of 250 corporate officers. What is the probability that in the sample, between 13% and 17% of the corporate officers will be women?