Let x be random variable with the following probability

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let X be random variable with the following probability distribution

X        0          1           2             3                  4

f(x)     1/16      1/4       3/8          1/4               A

a) Find and plot the cumulative distribution function (CDF), F(x).

b) Evaluate the mean and the variance of the random variable x.

c) Find P(x=2) using CDF in (a)

d) if another random variable Y= X^2 + 1 is formed, find the mean E[Y].

Reference no: EM13606643

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