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Using the fact that $P(X \ge 0) = 3P(X < 0)$, determine the values of $p$ and $q$.
Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
The random variable $X$ is restricted to the five values $-2$, $-1$, $0$, $1$, $2$. Its probability distribution is shown in this table: $P(X=-2)=p$, $P(X=-1)=p$, $P(X=0)=0.1$, $P(X=1)=q$, $P(X=2)=q$.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Indicates that the probabilities must total $1$, for example $p+p+0.1+q+q=1$” …
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