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

The random variable x is

`x=62`

Multiplying X by 3 and then adding 6 to it.

`\begin{gathered} x*3+6 \\ 3x+6 \\ \end{gathered}`

Since

`\begin{gathered} x=62 \\ 3*62+6 \\ 186+6 \\ =192 \end{gathered}`

Hence

The expected value of the transformed variable is 192

The right option is A.