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Suppose you have a random variable that is uniformly distributed between 1 and 29. what is the expected value for this random variable?

User Zbrunson
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Assuming the distribution is continuous, you have


\mathbb E(X)=\displaystyle\int_1^(29)\frac x{29-1}\,\mathrm dx=\frac1{28}\int_1^(29)x\,\mathrm dx=15

If instead the distribution is discrete, the value will depend on how the interval of number between 1 and 29 are chosen - are they integers? evenly spaced rationals? etc
User Offex
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