Probability help please?

Question

Let X be a continuous random variable with density
f(x) = csinx for x ε (0,π) and f(x) = 0 elsewhere.

Compute c.

Answer 1

Recall that, for f(x) to be a density function, we must have
integral over all x of f(x) dx = 1

In this case, the integration need only be done for x from 0 to π, since f(x) = 0 outside this interval. This will enable you to solve for c.

Answer 2

Yes, it is probable.