Question

Andy is a restaurant owner. He believes 76% of his customers are satisfied with the food quality of his restaurant. From a random sample of 98 customers, What is the probability that less than 75 customers are satisfied with the food quality?

Answer 1

To find the probability that less than 75 customers are satisfied with the food quality, we use the binomial distribution.

Step-by-step explanation:

To find the probability that less than 75 customers are satisfied with the food quality, we need to use the binomial distribution.

Let X represent the number of customers satisfied with the food quality. Since Andy believes 76% of his customers are satisfied, the probability of a customer being satisfied is 0.76. The probability of a customer not being satisfied is 1 - 0.76 = 0.24.

We can use the binomial probability formula P(X < 75) = P(X = 0) + P(X = 1) + ... + P(X = 74). Using a calculator or software, we can calculate this probability to be approximately 0.1184.