Mathematics 9709 · AS & A Level · Linear combinations of random variables

Linear combinations of random variables — practice question

Shown below is the probability distribution for the discrete random variable $X$: $x: 1,\;2,\;3,\;6$ $P(X = x): 0.15,\;p,\;0.4,\;q$
(main)[4]

Given that $\text{E}(X) = 3.05$, find $p$ and $q$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Using the fact that the total probability is 1, set up $p+q=0.45$

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