Overall, Sergeant Tamez only hits the (dime-sized) bulls-eye (from 1,000 yards in gale-force winds) with 56% of her pistol shots (that is, the probability that she hits the bulls-eye with any given pistol shot is .56). (a) One morning, Sergeant Tamez takes 140 pistol shots. What is the probability that she hits the bulls-eye exactly 80 times? (b) Another morning, Sergeant Tamez takes 300 pistol shots. What is the probability that she hits the bulls-eye 150 or more times? Every day for eternity Sergeant Tamez takes 500 pistol shots, and records the number of times she hits the bulls-eye. (c) Find the mean μ, and the standard deviation σ, of the numbers (of times she hits the bulls-eye on different days) that Sergeant Tamez records.
Overall, Sergeant Tamez only hits the (dime-sized) bulls-eye (from 1,000 yards in gale-force winds) with 56% of her pistol shots (that is, the probability that she hits the bulls-eye with any
given pistol shot is .56).
(a) One morning, Sergeant Tamez takes 140 pistol shots. What is the probability that she
hits the bulls-eye exactly 80 times?
(b) Another morning, Sergeant Tamez takes 300 pistol shots. What is the probability that she hits the bulls-eye 150 or more times?
Every day for eternity Sergeant Tamez takes 500 pistol shots, and records the number of times she hits the bulls-eye.
(c) Find the mean μ, and the standard deviation σ, of the numbers (of times she hits the bulls-eye on different days) that Sergeant Tamez records.
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