A discrete random variable Y Y\,Y represents the number of books borrowed by a student in one week. It has the probability distribution:
| yyy | 0 | 2 | 4 | 6 |
| P(Y=y)P(Y=y)P(Y=y) | 0.18 | aaa | 0.32 | bbb |
Where a a\,a and b b\,b are constants.
The cumulative distribution F(y)F(y)F(y) of Y Y\,Y is given below.
| yyy | 0 | 2 | 4 | 6 |
| F(y)F(y)F(y) | ccc | ddd | 0.71 | 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.