answer the ff with solution.

with manual calculation

Answer the problem below. In a fastfood restaurant, the time spend by the cashier, Frances, on a customer is a random variable with population mean}: = 2.7 minutes and a population standard deviation 0 = 0.8 minutes. For a random sample of 70 customers, what is the probability that the time she spends on the customer has a mean time between 2 minutes and 3 minutes? Show your detailed solution