The random variable J has a Poisson distribution with mean 4. Find P(J>2)

P(J>2) = P(J=0)+P(J=1)     [split it up]

P(X=t)= (V^t)/t!*e^V       where V=4 in this case  [use the formula]

P(J>2) = 4^0/0!*e^4 + 4^1/1!*e^4

          =1/e^4 + 4/e^4  =  5e^-4  which is roughly  0.0916

NC

Related Maths A Level answers

All answers ▸

How do you find the point or points of intersection of a straight line and a circle?


Given two coordinate points (a1,b1) and (a2,b2), how do I find the equation of the straight line between them?


How do you integrate (x/(x+1)) dx without using substitution.


How to solve polynomials