Question 328788: A rifleman can achieve a "marksman" award if he passes a test. He is allowed to fire six shots at a target's bull's eye.If he hits the bull;s eye with at least 5 of his 6 shots he wins a set. He becomes a marksman only if he can repeat the feat 3 times straight,that is,if he can wins three straight sets. If his probability is 0.8 of hitting a bull's eye on any one shot, find the probabilities of his: a) winning a set, and
b)becoming a marksman
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A rifleman can achieve a "marksman" award if he passes a test.
He is allowed to fire six shots at a target's bull's eye.
If he hits the bullseye with at least 5 of his 6 shots he wins a set.
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P(win a set) = 1 - binomcdf(6,0.8,4) = 6554
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He becomes a marksman only if he can repeat the feat 3 times straight,that is,if he can wins three straight sets. If his probability is 0.8 of hitting a bull's eye on any one shot, find the probabilities of his: a) winning a set, and
b)becoming a marksman
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P(be marksman) = 0.6554^3 = 0.2815
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Cheers,
Stan H.
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