An underground military base is designed to withstand up to three direct hits from air-to- surface...

An underground military base is designed to withstand up to three direct hits from air-to- surface missiles. An enemy aircraft armed with missiles, each having a 30% chance of a direct hit, starts firing at the base.

What is the expected number of missiles needed to destroy the base?

Find the variance, standard deviation and the second moment of the aircraft destroying the base.

Solutions

Expert Solution

Therefore,

Expected number of missiles needed to destroy the base = 0.9 = 1 ( approx. )

Variance = 0.63

Standard Deviation = 0.794 ( rounded up to 3 decimal places )

Second Moment = 1.44

orchestra answered 1 year ago

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