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3.2 Finding Probabilities for Normal Distributions

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Question 10

The weights of newborn puppies in a specific breed, $W$ grams, are normally distributed with $\sim \text{N}(450, 40^2)$ .

Find the probability that a randomly selected puppy weighs less than 510 g.

[2]

Find the upper quartile, $Q_3$ , of $W$ .

[2]

Write down the lower quartile, $Q_1$ , of $W$ .

[1]

An outlier is defined as any value of $W$ such that $W < h$ or $W > k$ , where

Q_1 - 1.5 \times (Q_3 - Q_1) \quad \text{and} \quad k = Q_3 + 1.5 \times (Q_3 - Q_1)

Find the value of $h$ and the value of $k$ .

[2]

Find the probability that a randomly selected puppy’s weight is an outlier.

[3]

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

Question bank

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 10

The weights of newborn puppies in a specific breed, $W$ grams, are normally distributed with $\sim \text{N}(450, 40^2)$ .

Find the probability that a randomly selected puppy weighs less than 510 g.

[2]

Find the upper quartile, $Q_3$ , of $W$ .

[2]

Write down the lower quartile, $Q_1$ , of $W$ .

[1]

An outlier is defined as any value of $W$ such that $W < h$ or $W > k$ , where

Q_1 - 1.5 \times (Q_3 - Q_1) \quad \text{and} \quad k = Q_3 + 1.5 \times (Q_3 - Q_1)

Find the value of $h$ and the value of $k$ .

[2]

Find the probability that a randomly selected puppy’s weight is an outlier.

[3]

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.