# expected value

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Consider the experiment of throwing an ideal die three times(all outcomes are equally likely). Let X and M denote the mean and the median respectively, of the three scores obtained.

a) find E(X)

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

Probability of Each outcome = 1/6

Expected Value of Each outcome = x*f(x) where x is the event and f(x) is its probability.

= 1*1/6 + 2*1/6 + 3*1/6...6*1/6

= 3.5

There for mean of 3 scores = (3.5 + 3.5 + 3.5)/3

= 3.5 ( answer)

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