Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The random variable $X$ denotes the time, measured in minutes, that Jannon needs to repair a bicycle puncture. $X$ has a normal distribution with mean $\mu$ and variance $\sigma^2$.
(main)[5]

It is stated that $P(X > 30.0) = 0.1480$ and $P(X > 20.9) = 0.6228$. Determine $\mu$ and $\sigma$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct $z$-value has been identified (for example, $1.045$ or $0.313$)

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