Question 10 - A-Level Maths

Exam Board	OCR
Module	PURE
Topic	Discrete Probability Distributions
Type	One unknown from sum constraint only

10 The probability distribution of a random variable \(X\) is given in the table.

\(x\)	0	2	4	6
\(\mathrm { P } ( X = x )\)	\(\frac { 3 } { 8 }\)	\(\frac { 5 } { 16 }\)	\(4 p\)	\(p\)

Find the value of \(p\).
Two values of \(X\) are chosen at random. Find the probability that the product of these values is 0 .