Question

At a certain fast food restaurant, 81.3% of the customers order items from the value menu. If 15 customers are randomly selected, what is the probability that at least 10 customers ordered an item from the value menu? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Round your answer to three decimal places.

Answer 1

To find the probability that at least 10 customers ordered an item from the value menu, we need to use the binomial probability formula and a calculator.

Step-by-step explanation:

To find the probability that at least 10 customers ordered an item from the value menu, we can use the binomial probability formula with the given information. First, we need to determine the number of customers who would order an item from the value menu and the probability of success for each customer. Let's define 'X' as the number of customers who order from the value menu. We want to find the probability of X being greater than or equal to 10.

Using the binomial probability formula, the probability of X being greater than or equal to 10 can be calculated as:

P(X ≥ 10) = P(X = 10) + P(X = 11) + ... + P(X = 15)

By substituting the values into the binomial formula, we can use a TI-83, TI-83 plus, or TI-84 calculator to find the probability. The rounded answer should be given to three decimal places.