Jan's All You Can Eat Restaurant charges ?$9.10 per customer to eat at the restaurant. Restaurant management finds that its expense per? customer, based on how much the customer eats and the expense of? labor, has a distribution that is skewed to the right with a mean of ?$8.30 and a standard deviation of ?$4

a. If the 100 customers on a particular day have the characteristics of a random sample from their customer? base, find the mean and standard deviation of the sampling distribution of the? restaurant's sample mean expense per customer.

The mean is ___

b. Find the probability that the restaurant makes a profit that? day, with the sample mean expense being less than ?$9.10

?(Hint: Apply the central limit theorem to the sampling distribution in? (a).?(Round to the nearest thousandth as? needed.) ____