The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.03 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel. (a) What is the probability that there are no surface flaws in an auto's interior

0.7408 = 74.08% probability that there are no surface flaws in an auto's interior.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of successes

e = 2.71828 is the Euler number

is the mean in the given interval.

Mean of 0.03 flaws per square foot of plastic panel.

This means that , in which n is the number of square feet.

Assume an automobile interior contains 10 square feet of plastic panel.

This means that , so

What is the probability that there are no surface flaws in an auto's interior?

This is . So

0.7408 = 74.08% probability that there are no surface flaws in an auto's interior.

1

step-by-step explanation:

it's the only multiple of both and the least