Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

On any given day, the chance that the school bus arrives on time is $0.6$. If it is on time, the chance that Sam gets a cup of coffee is $0.9$. If it is late, the chance that Sam gets a cup of coffee is $0.3$.
(i)[2]

Find the chance that Sam receives a cup of coffee.

(ii)[3]

Given that Sam does not get a cup of coffee, determine the probability that the bus is not on time.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The sum of the two product terms $0.6 \times 0.9 + 0.4 \times 0.3$

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