Jan's All You Can Eat Restaurant charges $9.00 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 $8.10 and a standard deviation of $3. Complete parts (a) and (b).
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 _
Find the probability that the restaurant makes a profit that day, with the sample mean expense being less than $9.00 (Hint: Apply the central limit theorem to the sampling distribution in (a).)