Skip to content

Course home

Sign up

Statistical Distributions

EasyMedium
1234567891011121314151617181920212223242526272829
Question 23

A random variable T T\,T is the number of minutes a customer waits for a service, rounded to one of six possible values. Its probability function is:

P(T=t)=t+233t=1,2,3,4,5,6 P(T=t)=\frac{t+2}{33} \quad t=1,2,3,4,5,6 P(T=t)=33t+2​t=1,2,3,4,5,6

The only possible values of T T\,T are 1,2,3,4,5, 1,2,3,4,5,\,1,2,3,4,5, and 6.

a.

Construct a table giving the probability function of TTT.

[2]
b.

Find P(0.5<T<2.8)P(0.5 < T < 2.8)P(0.5<T<2.8)

[1]
c.

Construct a table for the cumulative distribution F(t)=P(T≤t)F(t)=P(T\leq t)F(t)=P(T≤t).

[2]
Markscheme

Statistical Distributions Questions

  1. AS Level
  2. /Maths
  3. /Statistical Distributions

57 exam-style questions on Edexcel AS Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank