(a)[4]
Construct the probability distribution table for $X$.
(b)[3]
Given that $P(Y = 0) = 6P(Y = 5)$, determine the value of $p$.
Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
Harry has three coins. One of the coins is biased, with the chance of getting a head on a throw equal to $\frac{1}{3}$. The second coin is biased, with the chance of getting a head on a throw equal to $\frac{1}{4}$. The third coin is biased, with the chance of getting a head on a throw equal to $\frac{1}{5}$. Harry throws all three coins. The random variable $X$ counts the number of heads he gets.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “An accurate probability distribution table showing the correct $x$ values.” …
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