Consider the random variable X with probability function given in the table below. x f(x) 0 0.3985 1 0.2502 2 0.0345 3 0.2067 4 0.1101 a) Calculate the expected value of X. 1.3791 b) Calculate the expected value of X². 1.90191681 x d) Calculate the expected value of Y = −3X + 5. 0.8627 X

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A: Let  be a random variable with the following probability distribution.Value x of…

Q: (a) Find the expectation E (X) of X. E (x) = [ (b) Find the variance Var(X) of X. Var (x) = 0

A: Consider , the table , x P(x) x*P(x) x^2*P(x) 0 0.4 0 0 1 0.05 0.05 0.05 2 0.15 0.3 0.6 3…

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A:

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Q: (a) Find the expectation E (X) of X. E (x) = 0 %3D (b) Find the variance Var(X) of X.

A: We have to calculate the mean and variance of X for given probability distribution.

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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