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Edexcel A-Level Mathematics A2 S2.3.1 Continuous Uniform Questions

Practise continuous uniform distributions by forming rectangular pdfs, finding interval probabilities, and applying them to time or length contexts.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • state the full pdf f(t)=1/(b-a) on a stated interval and 0 otherwise
  • calculate probabilities from interval lengths, including inequalities
  • use a uniform cutting or journey-time model to convert context into a probability interval

Edexcel A-Level Mathematics A2 S2.3.1 Continuous Uniform Questions question 1

[Maximum number: 4]

Navtej travels to work by train. A train leaves the station every 7 minutes and Navtej's arrival at the station is independent of when the train is due to leave.

Question (a)

(a)

Write down a suitable model for the distribution of the time, T minutes, that he has to wait for a train to leave.

[ 1 ]

Question (b)

(b)

Find the mean and standard deviation of T

During a 10-week period, Navtej travels to work by train on 46 occasions.

[ 3 ]
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