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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 :

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

[tex]\bar{x}=62[/tex]

For the transformed variable, the expected value will be T

[tex]T=3\bar{x}+6[/tex]

where x =62

Then the value of T is obtained as

[tex]\begin{gathered} T=3(62)+6=186+6 \\ T=192 \end{gathered}[/tex]

The value of T is 192

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