In Hawaii, January is a favorite month for surfing since 60% of the days have a surf

Question:

In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet (Reference: Hawaii Data Book, Robert C. Schmitt). You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 7 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.

(a) Make a histogram of the probability distribution of r.

(b) What is the probability of getting 5 or more days when the surf is at least 6 feet?

(d) What is the expected number of days when the surf will be at least 6 feet?

(e) What is the standard deviation of the r-probability distribution?

(f) Interpretation Can you be fairly confident that the surf will be at least 6 feet high on one of your days off? Explain.

Distribution
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