Question

questions-9 (10 points) the manager of a supermarket tracked the amount of time needed for customers to be served by the cashier. after checking with his statistics professor, he concluded that the checkout times are exponentially distributed with a mean of 6 minutes. what proportion of customers require more than 10 minutes to check out? (excel file must be submitted along with your report).

Answer 1

To find the proportion of customers that require more than 10 minutes to check out in a supermarket with an exponential distribution of mean 6 minutes, we can use the exponential distribution formula.

Step-by-step explanation:

To find the proportion of customers that require more than 10 minutes to check out, we can use the exponential distribution formula.

The exponential distribution formula is given by P(X > x) = e^(-λx), where λ is the rate parameter and x is the value we want to find the probability of being greater than.

In this case, the mean of the exponential distribution is 6 minutes, so the rate parameter is λ = 1/6. We want to find P(X > 10), so x = 10.

Using the formula, we have P(X > 10) = e^(-1/6 * 10) = e^(-5/3) ≈ 0.1888.