Question

The number of accidents in a year attributed to a taxi driver in a city follows Poisson distribution with mean $3$. Out of $1000$ taxi drivers, the approximate number of drivers with no accident in a year given that $e^{-3}=0.0498$ is

• A. $4.98$
• B. $49.8$
• C. $498$
• D. $4.8$

Answer 1

Answer: (B)

$49.8$

Here $\lambda =3$
Hence Number of drivers with no accident out of 1000 is $=1000\times P(X=0)=1000\times e^{-3}=1000\times 0.0498=49.8$