Question

A new website has an average random hit rate of 20.5 unique visitors every hour. what is the probability of getting exactly 30 unique visitors in any one hour?

Answer 1

Solution :

Given that ,

mean = $\mu$ = 20.5

Using Poisson probability formula,

P(X = x) = (e^-$\mu$ * $\mu$ ^x ) / x!

P(X = 30) = (e^-20.5* 20.5³⁰⁾ / 30!

= 0.0106

Probability = 0.0106

The probability of getting exactly 30 unique visitors in any one hour is 0.0106.