anonymous
  • anonymous
Flaws in a carpet ten to occur randomly and independently at a rate of two every 100 square feet. What is the probability that: a) a carpet that is 8 feet by 12 feet contains three flaws
Statistics
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SOLVED
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jamiebookeater
  • jamiebookeater
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horsegirl27
  • horsegirl27
Well, what do you think?
horsegirl27
  • horsegirl27
Start by finding the area of the carpet
horsegirl27
  • horsegirl27
A=l*w length=8 width=12 A=8*12 A=?

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More answers

anonymous
  • anonymous
A=lxw =8x15 =120
anonymous
  • anonymous
@horsegirl27
horsegirl27
  • horsegirl27
Oops, you had 8*15, you want 8*12
anonymous
  • anonymous
Oh you know what in the question i typed 12 its supposed to be 15 sorry for the confusion. But now that I have the area then what? @horsegirl27
horsegirl27
  • horsegirl27
So, if a carpet will have 2 flaws every 100 sq ft, and the area is 96 sq ft, is there a chance there will be 3 flaws?
anonymous
  • anonymous
No I guess not because there is not enough area but if the area is 120 which is the 8*15 then it would have enough room to have 3 flaws right? @horsegirl27
horsegirl27
  • horsegirl27
I'm not sure. But since your area is 96 sq ft, your answer will be no.
horsegirl27
  • horsegirl27
Well, not exactly no. Next you will have to find the probability
anonymous
  • anonymous
If you look at my messages above it says that I made a mistake and that the 12 should be a 15 @horsegirl27
horsegirl27
  • horsegirl27
oh right, I'm sorry I thought you meant when you typed it in the problem.
anonymous
  • anonymous
its supposed to be 8*15 so how do I solve this? @horsegirl27
mathmate
  • mathmate
@Shaekitchen hint: review Poisson distribution in your notes. \(\lambda\) equals to 2*96/100.
anonymous
  • anonymous
Is that my full answer thought? Im not sure where else to take it? My prof is crap at writing notes I cant understand it.@mathmate
mathmate
  • mathmate
What I am saying is the probability is obtained by the Poisson distribution, with lambda = 0.96*2/100= expected number of flaws for 96 sq.ft, and n=3 (3 flaws).
mathmate
  • mathmate
You have to do a calculation to find P(n)=\(\large \frac{\lambda ^k}{k!}e^{-\lambda}\) \(\lambda = 2*96/100 =expected number of flaws, k=3 (flaws) ) For further information, read: http://en.wikipedia.org/wiki/Poisson_distribution
mathmate
  • mathmate
* P(k) = ....

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