Question 1 - A-Level Maths

Exam Board	Edexcel
Module	S1 (Statistics 1)
Year	2016
Session	January
Topic	Discrete Probability Distributions
Type	Find cumulative distribution F(x)

The discrete random variable \(X\) has the probability distribution given in the table below.

\(x\)	- 2	1	3	4	6
\(\mathrm { P } ( X = x )\)	\(\frac { 1 } { 4 }\)	\(\frac { 1 } { 6 }\)	\(\frac { 1 } { 3 }\)	\(\frac { 1 } { 12 }\)	\(\frac { 1 } { 6 }\)

Write down the value of \(\mathrm { F } ( 5 )\)
Find \(\mathrm { E } ( X )\)
Find \(\operatorname { Var } ( X )\) The random variable \(Y = 7 - 2 X\)
Find
1. \(\mathrm { E } ( Y )\)
2. \(\operatorname { Var } ( Y )\)
3. \(\mathrm { P } ( Y > X )\) \includegraphics[max width=\textwidth, alt={}, center]{70137e9a-0a6b-48b5-8dd4-c436cb063351-03_2261_47_313_37}