Question

The probability of a manufacturing defect in an aluminum beverage can is .00003. If 100,100 cans are produced,

(a) Find the approximate probability of at least two defective cans. (Round your answer to 4 decimal places.)

(b) Find the approximate probability of at least three defective cans. (Round your answer to 4 decimal places.)

(c) Why not use the binomial?
a) n is too large for the binomial application
b) the probability is too small for the poisson application
c) n is too large for the practical application

(d) Is the Poisson approximation justified?
a) yes
b) no