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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 195

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

2.4 Statistical Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Statistical Distributions

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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