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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 94

The time, TTT minutes, required for a specific bacterial culture to double in population is modelled by a normal distribution such that T∼N(μ,σ2)T \sim \text{N}(\mu, \sigma^2)T∼N(μ,σ2).

Given that P(T<145)=0.74P(T < 145) = 0.74P(T<145)=0.74, determine:

a.

P(T>145)P(T > 145)P(T>145)

[1]
b.

P(μ<T<145)P(\mu < T < 145)P(μ<T<145)

[2]
c.

P(T>μ∣T<145)P(T > \mu \mid T < 145)P(T>μ∣T<145)

[2]
Markscheme

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

  1. A Level
  2. /Maths
  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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