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4.2 Statistical distributions (A-level only)

4.2 Statistical distributions (A-level only)

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Question 146

A spinner is designed so that the angle X X\,X degrees at which it stops is modelled by X∼U(0,360)X\sim U(0,360)X∼U(0,360). A score is defined by S=cos⁡XS=\cos XS=cosX, with the calculator working in degrees.

a.

Explain why S S\,S is not uniformly distributed on [−1,1][-1,1][−1,1].

[2]
b.

Find P(S>0.5)P(S>0.5)P(S>0.5).

[3]
Markscheme

4.2 Statistical distributions (A-level only) Questions

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

328 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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