Math Is Fun Forum

GemmaJ1988

Member

Registered: 2008-10-08

Posts: 39

Poisson distribution

i have the following question:

An experiment on 25 cars is carried out. 15 of these cars are classed as flawed. 10 are classed as flawless.
assuming this has a poisson distribution

find the probability that a car has a flaw in terms of

my solution so far:
ive taken the average no of flaws to be 15/25=0.6
So

so the prob of a car having a flaw is:

so

As the question asked for the probability that a car has a flaw in terms of

im not sure if my solution is what the questions actually asking for
please help!

Last edited by GemmaJ1988 (2008-11-24 08:23:11)

greenisfab88

Member

Registered: 2008-11-24

Posts: 3

Re: Poisson distribution

i have the following question:

An experiment on 25 cars is carried out. 15 of these cars are classed as flawed. 10 are classed as flawless.
assuming this has a poisson distribution

find the probability that a car has a flaw in terms of

my solution so far:
ive taken the average no of flaws to be 15/25=0.6
So

so the prob of a car having a flaw is:

so

As the question asked for the probability that a car has a flaw in terms of

im not sure if my solution is what the questions actually asking for
please help!

this is so hard:o

mathceleb

Member

Registered: 2008-08-27

Posts: 19

Re: Poisson distribution

I disagree, I think the answer is 0.3293

http://www.mathcelebrity.com/poisson.php

Using 1,0.6,1 for your entries since 15/25 = 0.6 and we only use n for the mean which we already have, you can see the math.  I think the 1st poster needs to divide by e to the negative lambda.  With respect to everything else, I agree with the 1st poster on the math, except the last step.

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Math Celebrity