Question

The expected value of a random variable X is 62. The variable is transformed by multiplying X by 3 and then adding 6 to it. Find the expected value (mean) of the transformed variable.A.192B.156C.103D.205

Answer 1

SOLUTION

The random variable x is

$x=62$

Multiplying X by 3 and then adding 6 to it.

$\begin{gathered} x\times3+6 \\ 3x+6 \\ \end{gathered}$

Since

$\begin{gathered} x=62 \\ 3\times62+6 \\ 186+6 \\ =192 \end{gathered}$

Hence

The expected value of the transformed variable is 192

The right option is A.