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4.5.1 Statistical distributions (A-level only)

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Question 28

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]
Markscheme

4.5.1 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.5.1 Statistical distributions (A-level only)

225 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.

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