Question 01: An economist wishes to estimate the average family income in a certain population. The

Question 01: An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size n = 75.a) What is the probability that the sample mean will fall within $800 of the population mean?b) Given know we know that the population mean is $9,000. What is the probability that the sample mean will be at least $12,600?