SOLUTION: (a) Find the mean and variance of the random variable X having the following probability distribution: X 1 0 2.1 3.1 P(X = x) 0.3 0.4 0.1 0.2 b)Let X be disc

Question 891689: (a) Find the mean and variance of the random variable X having the following probability distribution:
X 1 0 2.1 3.1
P(X = x) 0.3 0.4 0.1 0.2

b)Let X be discrete random variable having Poisson distribution. If P( X = 0) = 0.264, find p (X = 1)&p(X >2).

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
(b) The pmf for the poisson distribution is

==> ==>
==> , to three decimal places
Also,
, to three decimal places.
==> p(x > 2) = 1 - p(0) - p(1) - p(2) = 1 - 0.264 - 0.352 - 0.234 = 0.15.
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