Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

In Greenton, $70\%$ of adults have a car, and a random sample of $8$ adults is selected from Greenton.
(a)[3]

Determine the probability that fewer than $6$ of the adults in this sample own a car.

(b)[5]

A random sample of $120$ adults from Greenton is now taken. Use an approximation to find the probability that more than $75$ of them own a car.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Application of the binomial probability term $^{8}C_x p^x(1-p)^{8-x}$.

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