SOLUTION: During inspection of the continuous process of making large rolls of floor coverings, 0.5 imperfections are spotted per minute on average. Use the Poison distribution to find th

Algebra ->  Test -> SOLUTION: During inspection of the continuous process of making large rolls of floor coverings, 0.5 imperfections are spotted per minute on average. Use the Poison distribution to find th      Log On


   

Question 1177276: During inspection of the continuous process of making
large rolls of floor coverings, 0.5 imperfections are
spotted per minute on average. Use the Poison distribution
to find the probabilities
(a) one imperfection in 4 minutes
(b) at least two in 8 minutes
(c) at most one in 10 minutes.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Poisson Distribution:  0.5per minute 0r 2/4min 0r 4/8min  or 5/10min
Using Ti or similarly aa inexpensive calculator like a Casio fx-115 ES plus 
4 min
P(x = 1) = poissonpdf(mean, x-value)= poissonpdf( 2,1) = .2707
8min
P(x ≥ 2) = 1 - P(x ≤ 1) = 1 -  poissonpdf( 4,1) = 1- .0733 = .9267
10min
P(x ≤ 1) = = poissonpdf( 5,1) = .0337
Or
One may use the Equation: 
P%28x%29+=+%28mu%5Ex%2Fx%21%29%2Ae%5E%28-mu%29  

Wish You the Best in your Studies.