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4.5.1 Statistical distributions (A-level only)

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Question 77

The discharge duration, D D\,D minutes, of a specialized drone battery is modeled by a normal distribution with a mean of 122.5 minutes and a standard deviation of 3.2 minutes.

a.

Find the probability that a randomly selected battery has a discharge duration exceeding 128 minutes.

[2]
b.

Determine the value of d d\,d such that P(122.5<D<d)=0.38P(122.5 < D < d) = 0.38P(122.5<D<d)=0.38.

[3]
c.

Two batteries are selected at random from the production line.

Calculate the probability that exactly one of these batteries has a discharge duration between 122.5 minutes and d d\,d minutes.

[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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