Question 4 - A-Level Maths

Exam Board	OCR MEI
Module	AS Paper 2 (AS Paper 2)
Year	2018
Session	June
Topic	Discrete Probability Distributions
Type	Comparison or ordering of two independent values

4 The probability distribution of the discrete random variable \(X\) is given in Fig. 4 . \begin{table}[h]

\(r\)	0	1	2	3	4
\(\mathrm { P } ( X = r )\)	0.2	0.15	0.3	\(k\)	0.25

\captionsetup{labelformat=empty} \caption{Fig. 4}

\end{table}

Find the value of \(k\).
\(X _ { 1 }\) and \(X _ { 2 }\) are two independent values of \(X\).
Find \(\mathrm { P } \left( X _ { 1 } + X _ { 2 } = 6 \right)\).