Paper 2 · continuous random variables
A continuous random variable X has cumulative distribution function F(x) = x^3/8 for 0 <= x <= 2. What is the median m of X? Give your answer to 3 decimal places.
Model answer
1.587
Also accepted: 1.59, cube root of 4
Explanation: The median satisfies F(m) = 0.5, so m^3/8 = 0.5, giving m^3 = 4 and m equal to the cube root of 4, which is approximately 1.587.
Derived from ZIMSEC Statistics Paper 2, November 2022, Q3
