Expectation and variance of a discrete random variable
 

Expectation and variance of a discrete random variable problem 1


Two fair 6-sided dice with faces labelled 1, 2, 3, 4, 5, 6 are thrown. The two scores are noted. The random variable is defined as follows.


  • If the two scores are equal,


  • If the scores are not equal, is the larger score minus the smaller score


Find and .


 

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