Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Each day, Jake tries the crossword in his daily newspaper. The chance that he finishes the puzzle on any one day is $0.75$, independently of every other day.
(i)[3]

Find the probability that he completes the puzzle at least three times in a five-day span.

(ii)[3]

Find the probability that Kenny will complete the puzzle on at least one of the two days Monday and Tuesday in a week chosen at random.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: A suitable binomial probability term such as ${}^5C_x p^x (1-p)^{5-x}$.

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