A discrete random variable X X\,X has the probability distribution:
| xxx | 0 | 1 | 2 | 3 |
| P(X=x)P(X=x)P(X=x) | 0.2 | aaa | 0.3 | bbb |
Where a a\,a and b b\,b are constants.
The cumulative distribution F(x)F(x)F(x) of X X\,X is given below.
| xxx | 0 | 1 | 2 | 3 |
| F(x)F(x)F(x) | ccc | ddd | 0.78 | eee |
Where ccc, d d\,d and e e\,e are constants.
Find the values of aaa, bbb, ccc, d d\,d and eee.
39 exam-style questions on CCEA A Level Maths 2.7 Statistical distributions, covering 2.7.1 Statistical distributions and 2.7.2 Statistical distributions. Each one has a worked solution and a mark scheme showing where the marks go.