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Mathematics, 21.02.2020 01:56 yaya6940

An air force intercept squadron consists of 16 planes that should always be ready for immediate launch. However, a plane's engine can be troublesome, and there is a probability of .25 that the engines of a particular plane will not start at a given attempt. if this happens, the mechanic ,must wait 5 minutes before trying to start with the engines again. The squadron commander is interested in how many planes will immediately become airborne if the squadron is scrambled. Find the expected number of planes that would be successfully launched (the mean), the variance, the standard deviation, the probability that exactly 12 planes scramble successfully and the probability that at least 14 planes scramble successfully.

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