SOLUTION: "There is a 99% chance that the system's radar will detect an incoming enemy missile such as the Scud. Once the missile is detected, a Patriot missile is fired and has a 98.5% chan

Algebra ->  Probability-and-statistics -> SOLUTION: "There is a 99% chance that the system's radar will detect an incoming enemy missile such as the Scud. Once the missile is detected, a Patriot missile is fired and has a 98.5% chan      Log On


   

Question 406741: "There is a 99% chance that the system's radar will detect an incoming enemy missile such as the Scud. Once the missile is detected, a Patriot missile is fired and has a 98.5% chance of exploding close enough to the incoming missile so that its fragments will damage the incoming missile. If this happens, there is a 65% chance that the incoming missile will explode in the air and thus cause no damage."
Calculate the probability that an incoming missile will be totally destroyed in the air by a Patriot missile.
Please use 3 decimals
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

"There is a 99% chance that the system's radar will detect an incoming enemy missile such as the Scud. 

Once the missile is detected, a Patriot missile is fired and has a 98.5% chance

 of exploding close enough to the incoming missile so that its fragments will damage the incoming missile. If this happens, there is a 65% chance that the 

incoming missile will explode in the air and thus cause no damage." 

Calculate the probability that an incoming missile will be totally destroyed in

 the air by a Patriot missile. Please use 3 decimals

P(detect 'and' damage 'and' destroy) = .99*.985*.65 = .634