the number of defective products produced by a factory is de

the number of defective products produced by a factory is described by a Poisson disribution. where the mean number of defective prodcuts produced in the factory in one day is 4. what is the probability that in a given day there are ANY defective products ?

Solution

m = 4

P(x=0) = e^(-m) * m^(x)/x! = e^(-4) = 0.0183

Any defect produt = 1 - P(x=0)

Any defect product = 0.9817