Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
The residents of the two towns, Mumbok and Bagville, are grouped according to age. The table below shows the populations, in thousands, for each town.
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A town is selected first. The probability of Mumbok being selected is $0.6$ and the probability of Bagville being selected is $0.4$. A person is then chosen at random from that town. Given that the person chosen is between $18$ and $60$ years old, determine the probability that Mumbok was the town selected.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Either $55/90$ or $95/160$ is visible” …