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2.4.4 Mean and variance of the binomial (A-level only)

Medium Hard

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Question 29

The weights of bags of sugar, $W$ grams, are normally distributed such that $\sim \text{N}(\mu, 1.2^2)$ .

Given that $25%25\%$ of the bags weigh more than $502$ grams, find the value of $μ\mu$ to the nearest $0.1$ g.

[4]

An employee selects $15$ bags at random.

Find the probability that fewer than $2$ of these bags weigh more than $502$ grams.

[3]

A wholesaler selects $200$ bags at random.

Using a suitable approximation, find the probability that more than $55$ of these bags weigh more than $502$ grams.

[4]

Markscheme

2.4.4 Mean and variance of the binomial (A-level only) Questions

A Level
Maths
2.4.4 Mean and variance of the binomial (A-level only)

67 exam-style questions on OCR A Level Maths 2.4.4 Mean and variance of the binomial (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

2.4.4 Mean and variance of the binomial (A-level only)

Question bank

2.4.4 Mean and variance of the binomial (A-level only)

Medium Hard

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

Question 29

The weights of bags of sugar, $W$ grams, are normally distributed such that $\sim \text{N}(\mu, 1.2^2)$ .

Given that $25%25\%$ of the bags weigh more than $502$ grams, find the value of $μ\mu$ to the nearest $0.1$ g.

[4]

An employee selects $15$ bags at random.

Find the probability that fewer than $2$ of these bags weigh more than $502$ grams.

[3]

A wholesaler selects $200$ bags at random.

Using a suitable approximation, find the probability that more than $55$ of these bags weigh more than $502$ grams.

[4]

Markscheme

2.4.4 Mean and variance of the binomial (A-level only) Questions

A Level
Maths
2.4.4 Mean and variance of the binomial (A-level only)

67 exam-style questions on OCR A Level Maths 2.4.4 Mean and variance of the binomial (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.