While Massachusetts is no California when it comes to sun, the solar energy industry is lourishing in

Question:

While Massachusetts is no California when it comes to sun, the solar energy industry is lourishing in this state (The Boston Globe, May 27, 2012). The state's capital, Boston, averages 211.7 sunny days per year. Assume that the number of sunny days follows a normal with a standard deviation of 20 days. In addition to providing the answer, state the relevant Excel commands.
a. What is the probability that Boston has less than 200 sunny days in a given year?
b. Los Angeles averages 266.5 sunny days per year. What is the probability that Boston has at least as many sunny days as Los Angeles?
c. Suppose a dismal year in Boston is one where the number of sunny days is in the bottom 10% for that year.
At most, how many sunny days must occur annually for it to be a dismal year in Boston?
d. In 2012, Boston experienced unusually warm, dry, and sunny weather. Suppose this occurs only 1% of the time.
What is the minimum number of sunny days that would satisfy the criteria for being an unusually warm, dry, and sunny year in Boston?

Distribution
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