Question 1 - A-Level Maths

Exam Board	CAIE
Module	S1 (Statistics 1)
Year	2022
Session	November
Topic	Discrete Probability Distributions
Type	Two unknowns from sum and expectation

1 The probability distribution table for a random variable \(X\) is shown below.

\(x\)	- 2	- 1	0.5	1	2
\(\mathrm { P } ( X = x )\)	0.12	\(p\)	\(q\)	0.16	0.3

Given that \(\mathrm { E } ( X ) = 0.28\), find the value of \(p\) and the value of \(q\).