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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 173

The random variable XXX is defined as

X=2Y+3Z−W X = 2Y + 3Z - W X=2Y+3Z−W

where YYY, ZZZ, and WWW are independent random variables with

Y∼N(5,42)Z∼N(8,22)W∼N(10,52) Y \sim \mathrm{N}(5, 4^2) \quad Z \sim \mathrm{N}(8, 2^2) \quad W \sim \mathrm{N}(10, 5^2) Y∼N(5,42)Z∼N(8,22)W∼N(10,52)

Find P(X>40)P(X > 40)P(X>40).

[5]
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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