Question

A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car had more than three defects. Here is the probability distribution for the number of appearance defects in a new car. X: number of defects 0 1 2 3 P(x) 0.61 0.21 0.11 0.07 Find the expected number of appearance defects in a new car. Do not round.

Answer 1

The expected number of appearance defects in a new car is 0.64.

Explanation:

To find the expected number of appearance defects in a new car, we multiply each outcome by its probability.

We have that:

0.61 probability of 0 defects

0.21 probability of 1 defect

0.11 probability of 2 defects

0.07 probability of 3 defects

0.61*0 + 0.21*1 + 0.11*2 + 0.07*3 = 0.64

The expected number of appearance defects in a new car is 0.64.