JEE Main2005MathematicsProbabilityActual
A random variable X has Poisson distribution with mean 2. Then P(X>1.5) equals
Options
- A2 e ^2
- B0
- C1- 3 e ^2
- D3 e ^2
Correct answer
C. 1- 3 e ^2
Step-by-step solution
aligned & P(x=k)=e^ - ^k k ! & P(x 2)=1-P(x=0)-P(x=1) & =1-e^ - -e^ - ( 1 ! ) & =1- 3 e^2 . aligned