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Finding Probabilities for Normal Distributions

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Question 7

A manufacturer produces high-precision capacitors. The capacitance, CCC millifarads (mF), follows a normal distribution with a mean of 220 mF and a standard deviation of 12 mF.

a.

Determine the probability that a randomly chosen capacitor has a capacitance greater than 241 mF.

[2]
b.

Given that P(c<C<220)=0.42P(c < C < 220) = 0.42P(c<C<220)=0.42, calculate the value of ccc.

[4]
c.

Two capacitors are selected at random. Calculate the probability that exactly one of them has a capacitance between ccc mF and 220 mF.

[2]

Finding Probabilities for Normal Distributions Questions

  1. A Level
  2. /Maths
  3. /Finding Probabilities for Normal Distributions

Practise Edexcel A Level Maths Finding Probabilities for Normal Distributions with exam-style questions for A Level Maths. 80 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

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