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Could anyone help me? I don't want the solution. Instead I'm just looking to understand what this means:

x 
2

Is this the Binomial Coefficient? How is this related with PDF?

enter image description here

tdy
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Overflow012
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2 Answers2

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It looks like the fraction bar is missing and that you want $\dfrac{x}{2}$. If that is the case, then the $PDF$ integrates to $1$.

Then you can use calculus or just geometric intuition to figure out the expected value.

Dave
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  • Even though you can reason through the geometry, it might be a useful exercise to be formal about the expected value calculation by solving the integral. – Dave Nov 16 '21 at 21:52
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I would guess it's supposed to be $\frac x2$ and there's been a printing issue. Notice that if that's the case $f(x)$ is non-negative and integrates to 1 and so is a probability distribution.

Nate
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