The Air Force conducts a follow-up study on planes that had either their wing or engine armorreinforced prior to combat. The data suggest that the probability of a plane being destroyed incombat under any strategy (either wings or engine armor reinforced) is 0.74. The probability ofa plane having armored engines reinforced and being destroyed is 0.1. The probability of a planehaving armored engines reinforced and not being destroyed is 0.2. Using this information, computethe probability of a plane not being destroyed given that (i) its engine vs. (ii) its wing armor wasreinforced I was thinking this would be solved through a binomial? Help please!

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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The Air Force is trying to determine the most effective way of reinforcing the armor on its planes. It is currently considering two distinct strategies: either reinforce the armor on the wings or around the engines.To determine the most effective strategy, you conduct two surveys and find that in the first survey 79 of 113 planes that returned from combat were mainly shot in the wings, whereas in the second survey, 23 of 122 planes that returned from combat were mainly shot in and around the engines. Compute and compare the 95% confidence intervals for each type of damage and then determinethe best strategy for protecting the planes

(That is already answered. The problem I need help with is):

The Air Force conducts a follow-up study on planes that had either their wing or engine armorreinforced prior to combat. The data suggest that the probability of a plane being destroyed incombat under any strategy (either wings or engine armor reinforced) is 0.74. The probability ofa plane having armored engines reinforced and being destroyed is 0.1. The probability of a planehaving armored engines reinforced and not being destroyed is 0.2. Using this information, computethe probability of a plane not being destroyed given that (i) its engine vs. (ii) its wing armor wasreinforced

I was thinking this would be solved through a binomial? Help please!

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