According to Money magazine, Maryland had the highest median annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a median of $75,847 and standard deviation of $33,800. a. What is the probability that a household in Maryland has an annual income of $100,000 or more (to 4 decimals)? b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)?

According to Money magazine, Maryland had the highest median annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a median of $75,847 and standard deviation of $33,800.

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

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

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

d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)?

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