(i)[3]
Find the value of $x$.
(ii)[4]
Given that Nikita’s mother does not like her present, find the probability that the present is a scarf.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
Nikita is shopping for a birthday present for her mother. She chooses a scarf with probability $0.3$, otherwise she chooses a handbag. The chance that her mother likes the scarf is $0.72$. The chance that her mother likes the handbag is $x$. The tree diagram shows this information. The probability that Nikita’s mother likes the present Nikita buys is $0.783$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up a correct equation from the two probabilities, for example $0.3\times 0.72 + 0.7x = 0.783$” …
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