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:
(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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