SOLUTION: A certain kind of sheet metal has, on average, 3 defects per 14 square feet. Assuming a Poisson distribution, find the probability that a 20 square foot metal sheet has at least 4

Algebra ->  Finance -> SOLUTION: A certain kind of sheet metal has, on average, 3 defects per 14 square feet. Assuming a Poisson distribution, find the probability that a 20 square foot metal sheet has at least 4      Log On


   

Question 1185897: A certain kind of sheet metal has, on average, 3 defects per 14 square feet.
Assuming a Poisson distribution, find the probability that a 20 square foot metal sheet has at least 4 defects. Round your answer to three decimal places.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The pmf for the Poisson distribution is p%28x%29+=+e%5E%28-lambda%29%2A%28lambda%5Ex%2Fx%21%29.
lambda is computed as lambda+=+%283%2F14%29%2A20+=+30%2F7.

The probability is .

Now use your scientific calculator to compute the required probability to the desired number of decimal places.