Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

Kayla is taking part in a throwing event. A throw counts as a success when the distance thrown is more than $30$ metres. The probability that Kayla gets a success on any throw is $0.25$.
(a)[2]

Find the probability that Kayla needs more than $6$ throws to get a success.

(b)[3]

Find the probability that, from a random sample of $10$ throws, Kayla gains at least $3$ successes.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $P(X>6)=0.75^6$ with $p=0.75,n=6$.

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