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(Solved): 4). Suppose X is a continuous random variable with probability density function f(x), then E(aX+b) ...

$4). Suppose \( X \) is a continuous random variable with probability density function \( f(x) \), then \[ E(a X+b)=a E(X)+b \$

4). Suppose

X

is a continuous random variable with probability density function

f (x)

, then

E (a X + b) = a E (X) + b

where

a

and

b

are constant.

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