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.
Thank you for the opportunity to help you with your question! the solution is as such:
here p= losing an aircraft =1/20
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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