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4.2 Statistical distributions (A-level only)

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Question 21

The weights, in kg, of male travelers at an airport follow a normal distribution with mean 82 and standard deviation 7. The weights of female travelers follow a normal distribution with mean 68 and standard deviation 6.

A male traveler and a female traveler are chosen at random.

a.

Find the probability that the male traveler weighs more than the female traveler.

[4]
b.

Five male travelers and five female travelers are chosen at random to board a small shuttle.

Find the probability that their total weight is greater than 775 kg.

[4]
Markscheme

4.2 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.2 Statistical distributions (A-level only)

324 exam-style questions on WJEC A Level Maths 4.2 Statistical distributions (A-level only), covering 4.2.1 Statistical distributions (A-level only), 4.2.2 Statistical distributions (A-level only), and 4.2.3 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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