Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

On any day, Cooper either puts on a blue jumper, puts on a green jumper, or does not put on a jumper. The probability that he puts on a blue jumper is $0.6$ and the probability that he puts on a green jumper is $0.3$. What Cooper wears, or does not wear, on one day is independent of his decision on any other day.
(a)[3]

Find the probability that, over a week of 7 days, Cooper wears a blue jumper on at least 5 days.

(b)[5]

Use an appropriate approximation to find the probability that, in a 150-day period, Cooper does not wear a jumper on fewer than 22 days.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Include at least one correct binomial term

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