According to Money magazine, Maryland had the highest mean annual household income of any state in 2018 at $75,847. Assume that annual household income in Maryland follows a normal distribution with a mean of $75,847and standard deviation of $33,000.

a. What is the probability that a household in Maryland has an annual income of $100,000or more (to 4 decimals)?

b. What is the probability that a household in Maryland has an annual income$40,000 of or less (to 4 decimals)?

c. What is the probability that a household in Maryland has an annual income $50,000 between and$70,000 (to 4 decimals)?