Mathcatchup
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- Jul 29, 2018
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Let \(\displaystyle X\) be a random variable with density function \(\displaystyle f(x)\, =\, e^{-C\,|x|},\, x\, \in\, \mathbb{R}\)
Find \(\displaystyle C\)
The answer is 2.
However, I am having hard time getting there.
To get the answer I need to:
Integrate f(x) with 0 to 1 limits and set the answer to be equal to 1 and then solve for C. Correct?
I also have no idea how to integrate an absolute value...
Find \(\displaystyle C\)
The answer is 2.
However, I am having hard time getting there.
To get the answer I need to:
Integrate f(x) with 0 to 1 limits and set the answer to be equal to 1 and then solve for C. Correct?
I also have no idea how to integrate an absolute value...
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