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Finding Probabilities for Normal Distributions

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Question 29

The random variable XXX follows a normal distribution such that X∼N(μ,σ2)X \sim \text{N}(\mu, \sigma^2)X∼N(μ,σ2).

Given that P(X<42)=0.8P(X < 42) = 0.8P(X<42)=0.8, find:

a.

P(X>42)P(X > 42)P(X>42)

[1]
b.

P(μ<X<42)P(\mu < X < 42)P(μ<X<42)

[2]
c.

P(X>μ∣X<42)P(X > \mu \mid X < 42)P(X>μ∣X<42)

[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