Use the Poisson Distribution to find the indicated probability. Round to three decimal places when necessary.
-For a certain type of fabric, the average number of defects in each square foot of fabric is 0.2. Find the probability that a randomly selected square foot of the fabric will contain more than one defect.
A)0.016
B)0.836
C)0.982
D)0.018

Question

Use the Poisson Distribution to find the indicated probability. Round to three decimal places when necessary.
-For a certain type of fabric, the average number of defects in each square foot of fabric is 0.2. Find the probability that a randomly selected square foot of the fabric will contain more than one defect. 
A)0.016
B)0.836
C)0.982
D)0.018

Quizplus · Accepted Answer

The probability of more than one defect is 1 minus the probability of 0 or 1 defect. Using the Poisson formula, P(X=0) = e^(-0.2) * (0.2^0)/0! = 0.8187 and P(X=1) = e^(-0.2) * (0.2^1)/1! = 0.1637. So, P(X>1) = 1 - (P(X=0) + P(X=1)) = 1 - (0.8187 + 0.1637) = 0.0176, which rounds to 0.018.

Use the Poisson Distribution to Find the Indicated Probability