Question 2 - A-Level Maths

Exam Board	OCR
Module	Further Statistics (Further Statistics)
Year	2021
Session	November
Topic	Discrete Probability Distributions
Type	Calculate Var(aX+b) transformations

2 A discrete random variable \(D\) has the following probability distribution, where \(a\) is a constant.

\(d\)	0	2	4	6
\(\mathrm { P } ( D = d )\)	\(a\)	0.1	0.3	0.2

Determine the value of \(\operatorname { Var } ( 3 D + 4 )\).