Question

Find the mean of x, if x is a Poisson variate satisfying the condition P(3)=P(4)

• A. 2
• B. 4
• C. 8
• D. 16

Hint:

For any Poisson distribution, a general relation holds:
\[ P(k) = P(k-1) \times \frac{\lambda}{k} \] If we set \( P(k) = P(k-1) \), we immediately get \(\lambda = k\). Here, \(P(4) = P(3)\) means \(\lambda = 4\). This rule allows you to solve the question mentally without writing down any calculations.

Answer 1

The Correct Option is B