Expectation and variance of a discrete random variable
 

Expectation and variance of a discrete random variable problem 5


A fair red spinner has 4 sides, numbered 1, 2, 3, 4. A fair blue spinner has 4 sides, numbered 0, 1, 2, 3. When a spinner is spun, the score is the number on the side on which it lands. The two spinners are spun at the same time. The random variable denotes the higher of the two scores obtained. If the two scores are equal, then the value of is 0. Find .


 

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