Suppose that 10% of the engines manufactured on a certain assembly lineare defective. If engines are...

Suppose that 10% of the engines manufactured on a certain assembly lineare defective. If engines are randomly selected one at a time and tested,

(a) (4 points) Calculate the probability that two good engines will be testedbefore a defective engine is found.

(b) (4 points) Calculate the probability that at least three good engineswill be tested before a defective engine is found.

Solutions

Expert Solution

a) probability that two good engines will be tested before a defective engine is found =0.9*0.9*0.1=0.081

b) probability that at least three good engines will be tested before a defective engine is found =P(all three are good)

=0.9*0.9*0.9=0.729

expected value of the number of good enginestested before a defective engine is found =1/p=1/0.1=10

orchestra answered 2 years ago

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