Kevin\'s Karpet Kompany offers their premium carpet at a bargain price. It has b
ID: 3383379 • Letter: K
Question
Kevin's Karpet Kompany offers their premium carpet at a bargain price. It has been discovered, however, that Kevin's premium carpets have a flaw ( loose shag) in every 150 square feet, on average, Assuming that the number of flaws you will find in the premium carpet you buy from Kevin has a Poisson distribution, what is the probability that the 225 square feet of premium carpet you're just bought from Kevin will have at most one flaw.
[answer is .5578]
Can you show step by step how to solve this problem?
Explanation / Answer
Possion Distribution
PMF of P.D is = f ( k ) = e- x / x!
Where
= parameter of the distribution.
x = is the number of independent trials
Kevin's premium carpets have a flaw ( loose shag) in every 150 square feet
Mean rate for 225 square feet of premium carpet 250/150 = 1.667
P( X < = 1) = P(X=1) + P(X=0)
= e^-1.667 * 1.667 ^ 1 / 1! + e^-1.667 * 5 ^ 0 / 0!
= 0.5036
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