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3.2 Finding Probabilities for Normal Distributions

Question 7

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

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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Question 7

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

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.