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2.4.12 Calculate probabilities from a Normal distribution (A-level only)

2.4.12 Calculate probabilities from a Normal distribution (A-level only)

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Question 92

The duration of a specific chemical synthesis process, TTT minutes, is modeled by a normal distribution such that T∼N(μ,122)T \sim N(\mu, 12^2)T∼N(μ,122). It is observed that only 10.56%10.56\%10.56% of trials result in a synthesis time of less than 217.4217.4217.4 minutes.

a.

Determine the value of the mean reaction time μ\muμ.

[3]
b.

Deduce the value of P(217.4<T<μ)P(217.4 < T < \mu)P(217.4<T<μ).

[1]
Markscheme

2.4.12 Calculate probabilities from a Normal distribution (A-level only) Questions

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  3. /2.4.12 Calculate probabilities from a Normal distribution (A-level only)

149 exam-style questions on OCR (MEI) A Level Maths 2.4.12 Calculate probabilities from a Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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