Answer to Question #119742 in Statistics and Probability for Evelyn Teye

Question

The mean number of errors due to a bug occurring in a minute is 0.0001. What is the probability that no error will occur in 20 minutes?

Answer 1

Poisson's distribution ,

$m = 0.0001$ per minute and time is given 20 min no error $m = 0.002$

Probability of No error

$p(r= 0) =\frac{e^{-m}\times m^{r}}{r!}=e^{-0.002} =0.998$