An underground military installation is fortified to the

2022-04-22 Answered

 An underground military installation is fortified to the extent that it can withstand up to three 
direct hits from air-to-surface missiles and still function. Suppose an enemy aircraft is armed 
with missiles, each having a 30 % chance of scoring a direct hit. 
i. What is the probability that the installation will be destroyed with the seventh missile fired
is obtained by fewer than nine air strikes? 
ii. Find the expected air-to-surface missiles strike. 

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Answers (1)

user_27qwe
Answered 2022-05-13 Author has 229 answers

i) P(scoring a direct hit)=0.3

P(installation destroyed with the seventh missile)=P(2 out of first 6 missile hit directly) × P(7th missile hit directly)

= (6C2×0.32×(1 - 0.3)4)×(0.3)

= 0.0972

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