Final answer:
To find the probability that a customer's haircut will be longer than an hour, we need to know the mean and standard deviation of the haircut time. Assuming a normal distribution, we can use the Z-score formula to calculate the probability.
Step-by-step explanation:
To find the probability that a customer's haircut will be longer than an hour, we need to know the mean and standard deviation of the haircut time. If we assume the haircut time follows a normal distribution, we can use the Z-score formula to calculate the probability. Let's say the mean haircut time is 45 minutes and the standard deviation is 10 minutes. We first convert one hour to minutes, which is 60 minutes. Then we calculate the Z-score: Z = (60 - 45) / 10 = 1.5. We can use a Z-table or a calculator to find the probability associated with a Z-score of 1.5, which is approximately 0.9332. Therefore, the probability that a customer's haircut will be longer than an hour is approximately 0.9332 or 93.32%.