Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

Car lengths in this city, measured in metres, are normally distributed with mean $\mu$ and standard deviation $0.714$.
(main)[4]

The chance that a randomly selected car has a length greater than $3.2$ metres but less than $\mu$ metres is $0.475$. Determine $\mu$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Reverse use of tables to locate the $z$-value attempted, with $\u001b1.96$ identified

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