Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

On Saturday afternoons, Mohit either shops with probability $0.25$, goes to the cinema with probability $0.35$, or stays at home. If he shops, the probability that he spends more than $50 is $0.7$. If he goes to the cinema, the probability that he spends more than $50 is $0.8$. If he remains at home, he spends $10 on a pizza.
(a(i))[1]

Find the probability that Mohit will go to the cinema and spend less than $50$.

(a(ii))[4]

Given that his spending is less than $50$, find the probability that he went to the cinema.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Working out $P(C\cap 50)=0.35\times0.2=0.07$

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