Question 2 - A-Level Maths

Exam Board	OCR
Module	Further Statistics AS (Further Statistics AS)
Session	Specimen
Topic	Discrete Probability Distributions
Type	Two unknowns from sum and expectation

2 The probability distribution of a discrete random variable \(W\) is given in the table.

\(w\)	0	1	2	3
\(\mathrm { P } ( W = w )\)	0.19	0.18	\(x\)	\(y\)

Given that \(\mathrm { E } ( W ) = 1.61\), find the value of \(\operatorname { Var } ( 3 W + 2 )\).