Mathematics, 25.09.2019 10:30 zaylencollins55
Find the value of k for which the given function is a probability density function. f(x = kekx on [0, 2]
Answers: 1
![f_X(x)=\begin{cases}ke^{kx}&\text{for }x\in[0,2]\\0&\text{otherwise}\end{cases}](/tpl/images/0261/1503/5ed1b.png)
to be a valid PDF, the integral over its support must equal 1:
, so that 
and the integral becomes
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Find the value of k for which the given function is a probability density function. f(x = kekx on [0...
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