A random variable X has the density function a*sin(x) + b*cos(x), if 0 < x < pi/2 Find 'a' and 'b'
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Sorry, I forgot to include a piece of information relevant to the problem: E(X) = 1/3 + pi/6
Originally Posted by DannyOcean A random variable X has the density function a*sin(x) + b*cos(x), if 0 < x < pi/2 Find 'a' and 'b' Surely you would try get two equation in a and b from: $\displaystyle \int_0^{\pi/2} f(x) \, dx = 1$ and $\displaystyle E(X) = \int_0^{\pi/2} x f(x) \, dx$ and then solve them simultaneously.
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