A manufacturer of auto parts knows that the probability is 0

A manufacturer of auto parts knows that the probability is 0.8 that an order is shipped on time. If the auto part is shipped on time, the probability that it is delivered on time is 0.9. What is the probability that a customer of this manufacturer receives an auto part on time?

Solution

For the customer to receive it on time, then it has to be both shipped on time and delivered on time.

Thus, by the product rule of independent events,

P(shipped and delivered on time) = 0.8*0.9 = 0.72 [ANSWER]