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2.4.2 The Normal distribution (A-level only)

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Question 53

A machine fills bottles with water. The amount of water in each bottle, $W\,$ ml, is Normally distributed with mean 500 ml.

It is given that 30% of bottles contain more than 504 ml.

Find the value of $k\,$ for which $P (k < W < 505) = 0.45$ . Give your answer to 1 decimal place.

[6]

Markscheme

2.4.2 The Normal distribution (A-level only) Questions

A Level
Maths
2.4.2 The Normal distribution (A-level only)

351 exam-style questions on AQA A Level Maths 2.4.2 The Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

2.4.2 The Normal distribution (A-level only)

Question bank

2.4.2 The Normal distribution (A-level only)

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Question 53

A machine fills bottles with water. The amount of water in each bottle, $W\,$ ml, is Normally distributed with mean 500 ml.

It is given that 30% of bottles contain more than 504 ml.

Find the value of $k\,$ for which $P (k < W < 505) = 0.45$ . Give your answer to 1 decimal place.

[6]

Markscheme

2.4.2 The Normal distribution (A-level only) Questions

A Level
Maths
2.4.2 The Normal distribution (A-level only)

351 exam-style questions on AQA A Level Maths 2.4.2 The Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.