Question

If \(X\) is a Poisson random variable with \(P(X=0)=0.8\), then the variance of \(X\) is equal to

• A. \(\ln\frac45\)
• B. \(\ln\frac54\)
• C. \(\ln\frac1{20}\)
• D. \(\ln20\)

Hint:

For a Poisson distribution, \[ \boxed{ P(0)=e^{-\lambda}, \qquad \text{Mean}=\text{Variance}=\lambda. } \]

Answer 1

The Correct Option is B