Question

Andy is a restaurant owner. He believes 81% 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 80 customers are satisfied with the food quality?

Answer 1

To calculate the probability that less than 80 customers are satisfied with the food quality, we need to use the binomial probability formula.

Step-by-step explanation:

To calculate the probability that less than 80 customers are satisfied with the food quality, we need to use the binomial probability formula. The formula is:

P(X < k) = (n choose k) * p^k * (1-p)^(n-k)

Where:

• P(X < k) is the probability that X is less than k
• n is the sample size (98 customers)
• k is the number of customers satisfied with the food quality (less than 80)
• p is the probability of a customer being satisfied with the food quality (0.81)

Plugging in the values, we get:

P(X < 80) = (98 choose 80) * 0.81^80 * (1-0.81)^(98-80)