Question

Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 220. The supermarket is open 12 hours per day. What is the probability of the number of customers entering the supermarket in a day?

Answer 1

To find the probability of the number of customers entering the supermarket in a day, we need to use the properties of the normal distribution.

Step-by-step explanation:

To find the probability of the number of customers entering the supermarket in a day, we need to use the properties of the normal distribution. Since the number of customers entering the supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 220, we can calculate the mean and standard deviation for a day by multiplying them by 12 (the number of hours in a day).

The mean for a day would be 650 * 12 = 7800 and the standard deviation for a day would be 220 * 12 = 2640.

Using these values, we can calculate the probability of getting a specific number of customers in a day by converting it to a standard score (z-score) and then using a standard normal distribution table or calculator to find the corresponding probability.