Question 6 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2019
Session	June
Topic	Continuous Probability Distributions and Random Variables
Type	Find parameter from median

Show that \(b = \frac { a } { a - 1 }\).
Given that the median of \(X\) is \(\frac { 3 } { 2 }\), find the values of \(a\) and \(b\).
Use your values of \(a\) and \(b\) from part (ii) to find \(\mathrm { E } ( X )\).