Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The random variable $Y$ follows a normal distribution, and its mean is five times its standard deviation.
(main)[3]

Given that $P(Y > 20) = 0.0732$, determine the mean.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $z=\frac{20-\mu}{\mu/5}$ (or $\frac{20-5\sigma}{\sigma}$) with $z=1.452$.

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