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anonymous
 one year ago
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
anonymous
 one year ago
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

This Question is Closed

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Well, what do you think?

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Start by finding the area of the carpet

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0A=l*w length=8 width=12 A=8*12 A=?

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Oops, you had 8*15, you want 8*12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh 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
 one year ago
Best ResponseYou've already chosen the best response.0So, 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
 one year ago
Best ResponseYou've already chosen the best response.0No 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
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure. But since your area is 96 sq ft, your answer will be no.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Well, not exactly no. Next you will have to find the probability

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you look at my messages above it says that I made a mistake and that the 12 should be a 15 @horsegirl27

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0oh right, I'm sorry I thought you meant when you typed it in the problem.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its supposed to be 8*15 so how do I solve this? @horsegirl27

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0@Shaekitchen hint: review Poisson distribution in your notes. \(\lambda\) equals to 2*96/100.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is 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
 one year ago
Best ResponseYou've already chosen the best response.0What 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
 one year ago
Best ResponseYou've already chosen the best response.0You 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
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