Answer:
The probability that occurrence of 8 in ten minutes is 0.0771.
Step-by-step explanation:
Poisson Distribution:
A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter [tex]\mu[/tex] (>0), if the p.m.f is given by
[tex]P(X=x)=\frac{e^{-mu}\mu^x}{x!}[/tex] for x=0,1,2,...
= 0, elsewhere
The mean number of occurrences in ten minutes is 5.3.
Here [tex]\mu[/tex] = 5.3 and x= 8
[tex]P(X=8)=\frac{e^{-5.3}(5.3)^8}{8!}[/tex]
=0.0771
The probability that occurrence of 8 in ten minutes is 0.0771.
