SOLUTION: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect.
(a) Use a binomial distribution to find the probability of findin
Algebra ->
Probability-and-statistics
-> SOLUTION: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect.
(a) Use a binomial distribution to find the probability of findin
Log On
Question 1075241: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect.
(a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 5000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. (a) using a Poisson distribution and compare the results. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! p=(5000C4)(1/2000)^4*1999/2000^4996
=0.1336
np=5000*(1/2000)=2.5
That is the Poisson parameter.
For 4 cars
e^(-2.5)2.5^4/4!
=0.1336
The same.
