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In Hawaii, January is a favorite month for surfing since 60% ofthe days have a surf of at least 6 feet.† You work day shifts in aHonolulu hospital emergency room. At the beginning of each monthyou select your days off, and you pick 7 days at random in Januaryto go surfing. Let r be the number of days the surf is at least 6feet.

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

(b) What is the probability of getting 4 or more days when thesurf is at least 6 feet? (Round your answer to three decimalplaces.)


(c) What is the probability of getting fewer than 2 days when thesurf is at least 6 feet? (Round your answer to three decimalplaces.)


(d) What is the expected number of days when the surf will be atleast 6 feet? (Round your answer to two decimal places.)
days

(e) What is the standard deviation of the r-probabilitydistribution? (Round your answer to three decimal places.)
days

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

---Select--- Yes No , because the probability of at least 1 daywith surf of at least 6 feet is  and the expected numberof days when the surf will be at least 6 feetis  ---Select--- less than equal to greater than one.