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.
Practise Edexcel AS Level Maths Statistical Distributions with exam-style questions for AS Level Maths. 15 questions covering Probability Distributions, The Binomial Distribution, and Cumulative Probabilities, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.