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Serving in a bomber crew in World War II was dangerous.  The British estimated that the probability of an aircraft loss due to enemy action was 1/20 for each mission.  What is the probability that an airman would complete 30 missions in a row without being on an aircraft lost from enemy action (that is, 30 successful missions out of 30)?  Assume that the binomial model is appropriate for this problem.

Jul 8th, 2015

here p= losing an aircraft =1/20

n= 30

q=  not losing an aircraft =19/20

now P( 0)= 30 C 0 * p^0 * q^ 30

p(0) = 0.2146

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Jul 8th, 2015

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Jul 8th, 2015

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