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Finding the mean and standard deviation

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Question 36

The amount of coffee, XXX ml, dispensed into a cup by machine PPP is normally distributed with a mean of 250 ml250\text{ ml}250 ml and a standard deviation of 8 ml8\text{ ml}8 ml.

a.

Find the probability that a randomly selected cup contains more than 262 ml262\text{ ml}262 ml.

[2]
b.

A 'regular' size is defined such that only 2%2\%2% of cups contain less than v mlv\text{ ml}v ml. Find the value of vvv.

[3]
c.

The amount of coffee, YYY ml, dispensed by machine QQQ is normally distributed with mean μ\muμ and standard deviation σ\sigmaσ.

Given that P(Y<240)=0.05P(Y < 240) = 0.05P(Y<240)=0.05 and P(Y<265)=0.98P(Y < 265) = 0.98P(Y<265)=0.98, find the value of μ\muμ and the value of σ\sigmaσ.

[5]

Finding the mean and standard deviation Questions

  1. A Level
  2. /Maths
  3. /Finding the mean and standard deviation

Practise Edexcel A Level Maths Finding the mean and standard deviation with exam-style questions for A Level Maths. 48 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank