sk6yeorthAnda sk6yeorthAnda
  • 02-03-2017
  • Mathematics
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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?

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LammettHash
LammettHash LammettHash
  • 02-03-2017
Assuming the distribution is continuous, you have

[tex]\mathbb E(X)=\displaystyle\int_1^{29}\frac x{29-1}\,\mathrm dx=\dfrac1{28}\int_1^{29}x\,\mathrm dx=15[/tex]

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
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