Question

If X is a random variable with a probability distribution that is given in the following...

If X is a random variable with a probability distribution that is given in the following table where a and b are unknown constants.
X -1 0 a 3 b P(X = x) 0.1 0.15a 0.2 0.03b 0.4


(a) Find a and b such that E(5 + 100X) = 260.


(b) Find the variance of X.

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