BITSAT2010MathematicsProbabilityActual
If mean of a poisson distribution of a random variable (X ) is 2 , then the value of (P(X > 1.5) ) is
Options
- A( 3 e^2 )
- B( 3 e )
- C(1- 3 e )
- D(1- 3 e^2 )
Correct answer
D. (1- 3 e^2 )
Step-by-step solution
Since, ( P ( X = r )= e^ - ^r r ! ) (where ( = ) mean) ( aligned & P ( X = r > 1.5)= P (2)+ P (3)+ & =1- P ( X = r 1)=1- P (0)- P (1) & =1- (e⁻²+ e⁻² 2 1 ! )=1- 3 e^2 aligned )