6.87 Tax Audits In Exercise 6.28 we suggested that the Canada Revenue Agency assign auditing rates per province by randomly selecting 50 auditing percent- ages from a normal distribution with a mean equal to 1.55% and a standard deviation of 0.45%.

a. What is the probability that a particular province would have more than 2% of its tax returns audited?

b. What is the expected value of x, the number of provinces that will have more than 2% of their income tax returns audited?

c. Is it likely that as many as 4 of the 13 provinces will have more than 2% of their income tax returns audited?