Use Poisson Distribution To Calculate Values Of Parameters


A company makes water pumps. The probability that a randomly selected pump is defective is equal to p. What is the probability that a sample of M pumps will contain exactly 3 defective items? Use Binomial distribution and Poisson distribution. Comment upon your results.

Parameters are calculated as follows:

(a) Calculated values of parameters:

M =

p =

(b) Calculations using Poisson distribution (please show your working):

(c) Calculations using Binomial distribution (please show your working):

(d) Please comment on your results



The question belongs to Statistics and it discusses about using Poisson distribution for calculating values of parameters.

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