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3.2 Finding Probabilities for Normal Distributions

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Question 24

The random variable $X$ is defined as

X = 2 Y + 3 Z - W

where $Y$ , $Z$ , and $W$ are independent random variables with

\sim \mathrm{N}(5, 4^2) \quad Z \sim \mathrm{N}(8, 2^2) \quad W \sim \mathrm{N}(10, 5^2)

Find $P (X > 40)$ .

[5]

Markscheme

3.2 Finding Probabilities for Normal Distributions Questions

A Level
Maths
3.2 Finding Probabilities for Normal Distributions

80 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.

3.2 Finding Probabilities for Normal Distributions

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3.2 Finding Probabilities for Normal Distributions

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52

Question 24

The random variable $X$ is defined as

X = 2 Y + 3 Z - W

where $Y$ , $Z$ , and $W$ are independent random variables with

\sim \mathrm{N}(5, 4^2) \quad Z \sim \mathrm{N}(8, 2^2) \quad W \sim \mathrm{N}(10, 5^2)

Find $P (X > 40)$ .

[5]

Markscheme

3.2 Finding Probabilities for Normal Distributions Questions

A Level
Maths
3.2 Finding Probabilities for Normal Distributions

80 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.