Question

Suppose there is an average of $2$ suicides per year per $50,000$ population. In a city of population $1,00,000$, the probability that in a given year there are, zero suicides is

• A. $1.e^{-2}$
• B. $1-e^{-2}$
• C. $e^{-4}$
• D. $1-e^{-4}$

Answer 1

Answer: (C)

$e^{-4}$

P.D parameter $\lambda =\frac{2}{50000}\times 100000=4$
Thus probability that in a year there is no suicide is $=P(X=0)=e^{-4}$