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If X follows a uniform distribution in the interval [2, 7], what is the height of the probability density function (pdf) at x = 4?

I'm new to Probability & Statistics and will appreciate any help!

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    $\begingroup$ Have you tried to graph the PDF? What do you know about the uniform distribution? $\endgroup$ – Carlos Mendoza Oct 21 '15 at 3:30
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Hints:

  • If it is a uniform distribution then the density is constant on the support of the random variable.

  • If the density is $f(x)$ on the support between $a$ and $b$, you want $\displaystyle \int_a^b f(x) \, dx = 1$ as this is a probability

  • So you want to find $h$ where $\displaystyle \int_2^7 h \, dx = 1$. Or you could sketch a rectangle

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