Expectation and variance of a discrete random variable
 

Expectation and variance of a discrete random variable problem 8


A fair coin and an ordinary fair six-sided dice are thrown at the same time. The random variable is defined as follows.


  • If the coin shows a tail, is twice the score on the dice.

  • If the coin shows a head, is the score on the dice if the score is even and is 0 otherwise.


Find .


 

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