Question 6 - A-Level Maths

Exam Board	OCR MEI
Module	Paper 2 (Paper 2)
Year	2024
Session	June
Topic	Discrete Probability Distributions
Type	One unknown from sum constraint only

6 The probability distribution of the discrete random variable \(X\) is shown in the table.

\(x\)	0	1	2	3
\(\mathrm { P } ( \mathrm { X } = \mathrm { x } )\)	0.2	\(a\)	\(3 a\)	0.4

Calculate the value of the constant \(a\).
A single value of \(X\) is chosen at random. Find the probability that the value is an odd number.
Two independent values of \(X\) are chosen at random. Calculate the probability that the total of the two values is 3 .