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4.5.1 Statistical distributions (A-level only)

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Question 23

A pharmaceutical lab fills vials with a reagent. The volume of reagent in a vial, $V$ ml, is modeled by a normal distribution with mean $125.2$ ml and standard deviation $0.85$ ml.

Determine the probability that the volumes of reagent in two randomly chosen vials differ by more than $2.0$ ml.

[4]

Vials are transported in batches of 15 using a specialized storage rack. The volume of the storage rack itself, $R$ ml, is modeled by a normal distribution with mean $320.0$ ml and standard deviation $2.5$ ml.

Calculate the probability that the total volume of a randomly selected storage rack fully loaded with 15 vials exceeds $2205$ ml.

[5]

Markscheme

4.5.1 Statistical distributions (A-level only) Questions

A Level
Maths
4.5.1 Statistical distributions (A-level only)

228 exam-style questions on CCEA A Level Maths 4.5.1 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

4.5.1 Statistical distributions (A-level only)

Question bank

4.5.1 Statistical distributions (A-level only)

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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

Question 23

A pharmaceutical lab fills vials with a reagent. The volume of reagent in a vial, $V$ ml, is modeled by a normal distribution with mean $125.2$ ml and standard deviation $0.85$ ml.

Determine the probability that the volumes of reagent in two randomly chosen vials differ by more than $2.0$ ml.

[4]

Calculate the probability that the total volume of a randomly selected storage rack fully loaded with 15 vials exceeds $2205$ ml.

[5]

Markscheme

4.5.1 Statistical distributions (A-level only) Questions

A Level
Maths
4.5.1 Statistical distributions (A-level only)

228 exam-style questions on CCEA A Level Maths 4.5.1 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.