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Practice Problem: normalizing the probability mass function of a continuous random variable
A random variable X has the following probability density function:
$ f_X (x) = \left\{ \begin{array}{ll} k, & \text{ if } a\leq x \leq b,\\ 0, & \text{ else}, \end{array} \right. $
where k is a constant. Compute the mean of X.
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Answer 1
Distinction to make for yourself when solving: is 'mean' taken over all values of X, or only values of X such that pdf(x) is nonzero?
Answer 2
Write it here
Answer 3
Write it here.
