Continuous random variable takes all real values between and

MATHEMATICS · Subjective · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

Continuous random variable

X

takes all real values between

-\frac{\pi}{2}

and

\frac{\pi}{2}

, and has the probability density function

f(x) = \frac{1}{2} \cos x

. Find the variance of

X