Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Whenever Tamar goes to work, he either wears a blue suit with probability $0.6$ or a grey suit with probability $0.4$. If his suit is blue, the probability that he wears red socks is $0.2$. If his suit is grey, the probability that he wears red socks is $0.32$.
(a(i))[2]

Find the probability that Tamar wears red socks on any day when he is at work.

(a(ii))[3]

Given that Tamar is not wearing red socks at work, find the probability that he is wearing a grey suit.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The sum of two two-factor products, $0.6 \times a + 0.4 \times b$ (for example $0.6 \times 0.2 + 0.4 \times 0.32$)

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