Question 3 (20%) Consider the following hypothetical example: a designer is developing a new type of fighter jet and would like to enhance some parts of the jet in order to protect the pilot. The designer checks the data and finds some (assuming comprehensive) statistics on which part of the fighter jet gets hit among those fighter jet pilots who survive a typical mission. Part Proportion Cockpit 0.15% Fuselage 2.88% Engine 0.60% Wings 0.99% In accordance with an accurate computer simulation, the probabilities for a fighter jet being hit on different parts in a typical mission arePart Probability Cockpit 0.99% Fuselage 3.21% Engine 1.57% Wings 3.85% Finally, the designer finds that overall 95.64% of the fighter jet pilots survive a typical mission. Assuming that the probabilities for a fighter jet pilot decease without getting hit in a typical mission is negligible. What are the corresponding probabilities for a fighter jet pilot surviving a typical mission, given that the fighter jet has been hit on different parts? Part Probability Cockpit Fuselage Engine Wings