Question 1 - A-Level Maths

Exam Board	CAIE
Module	S1 (Statistics 1)
Year	2010
Session	November
Topic	Discrete Probability Distributions
Type	Probabilities in table form with k

1 The discrete random variable \(X\) takes the values 1, 4, 5, 7 and 9 only. The probability distribution of \(X\) is shown in the table.

\(x\)	1	4	5	7	9
\(\mathrm { P } ( X = x )\)	\(4 p\)	\(5 p ^ { 2 }\)	\(1.5 p\)	\(2.5 p\)	\(1.5 p\)

Find \(p\).