3. Screens used in screen doors typically have 2 flaws per square yard. Find the probability that in two square yards of screens, there will be 4 flaws.

The probability that in two square yards of screens, there will be 4 flaws is 0.1954.

Step-by-step explanation:

Let X = number of flaws per square yard.

The average number of flaws per square yard is, λ = 2.

The random variable X follows a Poisson distribution with parameter λ = 2.

The probability mass function of a Poisson random variable is:

The average number of flaws in 1 square yard is, 2.

Then the average number of flaws in 2 square yard is, 2 × 2 = 4 = λ.

Compute the probability that in two square yards of screens, there will be 4 flaws as follows:

Thus, the probability that in two square yards of screens, there will be 4 flaws is 0.1954.

step-by-step explanation: