Question

oints 2The 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.192156103205

Answer 1

The expected value (mean) of the random variable X =62

`\bar{x}=62`

For the transformed variable, the expected value will be T

`T=3\bar{x}+6`

where x =62

Then the value of T is obtained as

`\begin{gathered} T=3(62)+6=186+6 \\ T=192 \end{gathered}`

The value of T is 192