Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

At one large college, $22\%$ of the students have a car.
(a)[1]

3 students are selected at random from the college. Find the probability that each of the 3 students owns a car.

(b)[3]

16 students are selected at random from the college. Find the probability that the number of these car owners is at least 2 and at most 4.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct calculation is $0.22^3=0.0106$.

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