A continuous random variable has the probability density function given by f(x) =…

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

Problem

A continuous random variable

X

has the probability density function given by

f(x) = \begin{cases} kx & \text{for } 0 \le x < 1 \\ k & \text{for } 1 \le x \le 2 \\ 0 & \text{otherwise} \end{cases}

Find the median of

X