On a vehicle assembly line 1 of vehicles have a defective fr

On a vehicle assembly line. 1% of vehicles have a defective frame, 5% defective body, 10% defective engine. All are independent from each other. What is the probability that a randomly selected vehicle will have a good frame, good body, but a defective engine?

Solution

Here,

P(good frame) = 1 - 0.01 = 0.99
P(good body) = 1 - 0.05 = 0.95
P(defective engine) = 0.10

Thus,

P = 0.99*0.95*0.10 = 0.09405 [ANSWER]