Assume that, looking to buy a good used car, you have

end up in two cars. One belongs to a friend of yours who you know was a long time

standard with its maintenance. Asking $$5,000.$ The other car comes from someone

familiar second$-$hand sales mantra. It costs $$4,000$ but you believe it exists

$40\%$ chance very soon that specific repairs will be required that according

with the special type they will cost about $$2,000.$ However, you can pay $$100$

to an auto mechanic to inspect it$.$ In general, $80\%$ of these

of engines that do not need repairs, the mechanic classifies them as "good", while

characterizes as "defective" $75\%$ of the cars that need repairs.

Carry out an analysis of the problem and prepare a report that

summarizes your findings and recommendations. Up to what amount would you be willing to

willing to pay for the engineer's services? If the engineer could

offers you complete information about the condition of the car from

used paddock, up to what amount would you be willing to pay for

this information?