A discrete random variable G G\,G represents the number of goals scored by a team in a match. It has the probability distribution:
| ggg | 0 | 1 | 2 | 3 |
| P(G=g)P(G=g)P(G=g) | 0.12 | aaa | 0.25 | bbb |
Where a a\,a and b b\,b are constants.
The cumulative distribution F(g)F(g)F(g) of G G\,G is given below.
| ggg | 0 | 1 | 2 | 3 |
| F(g)F(g)F(g) | ccc | ddd | 0.83 | eee |
Where ccc, d d\,d and e e\,e are constants.
Find the values of aaa, bbb, ccc, d d\,d and eee.
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.