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3.2 Finding Probabilities for Normal Distributions

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Question 20

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]
Markscheme

3.2 Finding Probabilities for Normal Distributions Questions

  1. A Level
  2. /Maths
  3. /3.2 Finding Probabilities for Normal Distributions

79 exam-style questions on Edexcel A Level Maths 3.2 Finding Probabilities for Normal Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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