question_answer

A random variable X has Poisson distribution with mean 2. Then,\[P(X>1.5)\]equals     AIEEE  Solved  Paper-2005

A) \[\frac{3}{{{e}^{2}}}\]                   

B)        \[1-\frac{3}{{{e}^{2}}}\]               

C)        0                             

D)        \[\frac{2}{{{e}^{2}}}\]

Correct Answer: B

Solution :

In a Poisson distribution,             . Now,