Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

For Scotland in November, the average proportion of cloudy days is $80\%$. Assume that the weather on one day is independent of the weather on every other day.
(i)[4]

Use a normal approximation to determine the probability of having fewer than $25$ cloudy days in Scotland in November ($30$ days).

(ii)[1]

State a reason that justifies using a normal approximation.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correctly identifying $np = 24$ and $npq = 4.8$

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