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Finding Probabilities for Normal Distributions

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Question 40

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]

Finding Probabilities for Normal Distributions Questions

  1. A Level
  2. /Maths
  3. /Finding Probabilities for Normal Distributions

Practise Edexcel A Level Maths Finding Probabilities for Normal Distributions with exam-style questions for A Level Maths. 80 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank