Question: I need help with this question: Consider a loaded dice such that the probability to obtain an outcome of 1 is 2p/3, the probability of

I need help with this question:

Consider a loaded dice such that the probability to obtain an outcome of 1 is 2p/3, the probability of obtaining 2, 3, 4 or 5 is p each, and the probability of obtaining 6 is 3p/2.

(1) Compute the average outcome of throwing the above loaded dice.

(2) Compute the variance in the outcome of throwing the above loaded dice

I have calculated p to be 6/37 but i dont know how to do the rest.

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