The random variable has the probability density function given by f(x) = cases k x &…

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Statistics and Probability · Statistics and Probability

Problem

The random variable

X

has the probability density function given by

f(x) = \begin{cases} k\sqrt{x} & \text{for } 0 \le x \le 1 \\ 0 & \text{otherwise} \end{cases}

Find

P\left(X > \frac{1}{4}\right)