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Year 11 (2025) Maths Advanced Discrete Probability Distributions

Expected Value

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Question 1
118152

The expected value \(E(x)=2.25\) for this probability function. Find \(p\) and \(q\).

\[\begin{array}{ | c | c | c | c | c |}\hline x & 1 & 2 & 3 & 4 \\ \hline P(X=x) & p & 0.15 & 0.25 & q \\ \hline \end{array}\] 

\(p=0.4\), \(q=0.2\)

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