Question 1 - A-Level Maths

Edexcel S1 — Question 1

Exam Board	Edexcel
Module	S1 (Statistics 1)
Topic	Discrete Probability Distributions
Type	Direct probability from given distribution

(a) Explain briefly what is meant by a random variable.
(b) Write down a quantity which could be modelled as
1. a discrete random variable,
2. a continuous random variable.
3. The discrete random variable \(X\) has the probability function given by the following table:
\(x\) 0 1 2 3 4 5 6
\(\mathrm { P } ( X = x )\) 0.09 0.12 0.22 0.16 \(p\) \(2 p\) 0.2
(a) Show that \(p = 0.07\)
(b) Find the value of \(\mathrm { E } ( X + 2 )\).
(c) Find the value of \(\operatorname { Var } ( 3 X - 1 )\).

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