Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

In Arka, the three villages Reeta, Shan and Teber contain 800 households in total. Every household was questioned about the standard of its broadband service. The results are shown in the table below.
(a(i))[1]

Find the probability that a household chosen at random is in Shan and has poor broadband service.

(a(ii))[2]

Find the probability that a randomly selected household has good broadband service, given that it is in Shan.

(b(i))[3]

10 households in Arka are selected at random. Find the probability that fewer than 3 of these households have no broadband service.

(b(ii))[5]

From 120 households in Arka chosen at random, use an approximation to find the probability that more than 32 of them have no broadband service.

(ii)[5]

From 120 households in Arka chosen at random, use an approximation to find the probability that more than 32 of them have no broadband service.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Probability $\frac{40}{800}=\frac{1}{20}=0.05$

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