Suppose you have a random variable that is uniformly distributed between 7 and 26. what is the expected value for this random variable? answer to one decimal place if necessary.

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23-02-2017
Mathematics

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Suppose you have a random variable that is uniformly distributed between 7 and 26. what is the expected value for this random variable? answer to one decimal place if necessary.

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LammettHash LammettHash · Answer 1 · 2017-02-23T15:00:45-05:00

LammettHash LammettHash

23-02-2017

\(\mathbb E(X)=\int_7^{26}\dfracx{26-7}\,\mathrm dx=\dfrac{33}2=16.5\)

which follows from the definition for expected value,

\(\mathbb E(X)=\int_{-\infty}^\infty xf_X(x)\,\mathrm dx\)

where \(f_X(x)\) is the probability density function for \(X\).

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