The discrete random variable $X$ has the following probability distribution. $x$ 1 2 3 6 --- --- --- --- --- $P(X = x)$ 0.15 $p$ 0.4 $q$ Given that $E(X) = 3.05$, find the values of $p$ and $q$.

Mathematics 9709/61 — October/November 2017

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

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Topics Discrete Random Variables · Representation of Data · Probability · Permutations and Combinations · The Normal Distribution

Q14MDiscrete Random VariablesFree sample

The discrete random variable $X$ has the following probability distribution.

$x$	1	2	3	6
$P(X = x)$	0.15	$p$	0.4	$q$

Given that $E(X) = 3.05$ , find the values of $p$ and $q$ .

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