A jet engine has ten components in series. The average reliability of each component is 0.998. What is the reliability of the engine?

(Round your answer to 3 decimal places)

0.980

Step-by-step explanation:

To find the reliability of the engine, we need all the ten components to work. Each components has a reliability of 0.998, so to find the reliability of the engine we need to find the probability of all ten components working.

We can find this probability multiplying all the ten reliabilities:

P = 0.998^10 = 0.9802

Rounding to three decimal places, we have P = 0.980

The reliability of the engine is 0.980