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!
2025-01-13 02:39:49.1736735989
Height of uniform distribution?
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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