please, solve 4 question D1.Find the expected value and variance of the discrete random variable Xwith the following PDF:x = 14'P(X = x) =X = 23-D2.If E(X) = 10 and Var(X) = 2, find Var(2 – 5X).-D3.Let X be a random variable with the probability density function f(x),5x4,0,f(x) = { 32**, 0

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Description: please, solve 4 question D1.Find the expected value and variance of the discrete random variable Xwith the following PDF:x = 14'P(X = x) =X = 23-D2.If E(X) = 10 and Var(X) = 2, find Var(2 – 5X).-D3.Let X be a random variable with the probability dens

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please, solve 4 question

D1.
Find the expected value and variance of the discrete random variable X
with the following PDF:
x = 1
4'
P(X = x) =
X = 2
3
-D2.
If E(X) = 10 and Var(X) = 2, find Var(2 – 5X).
-D3.
Let X be a random variable with the probability density function f(x),
5
x4,
0,
f(x) = { 32**, 0<x<2
otherwise
Calculate mean and variance of X.
-D4.
Find the expected value u = E(X), the variance o? = Var(X) and the
standard deviation o for the probability density function:
1
1< x <e
f(x)
(0,
(o, otherwise

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