Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The random variable $X$ follows the distribution $N(\mu, \sigma^2)$. It is known that $P(X < 54.1) = 0.5$ and $P(X > 50.9) = 0.8665$.
(main)[4]

Work out the values of $\mu$ and $\sigma$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or evaluate the mean value, $\mu=54.1$

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