Exam-Style Problem
⬅ Back to Subchapter
Browsing as Guest. Progress, bookmarks and attempts are disabled.
Log in to track your work.
Nov 2008 p6 q7
2950
A fair die has one face numbered 1, one face numbered 3, two faces numbered 5 and two faces numbered 6.
The die is thrown twice. Let \(X\) be the sum of the two scores. The following table shows the possible values of \(X\).
| Second throw | ||||||
|---|---|---|---|---|---|---|
| First throw | 1 | 3 | 5 | 5 | 6 | 6 |
| 1 | 2 | 4 | 6 | 6 | 7 | 7 |
| 3 | 4 | 6 | 8 | 8 | 9 | 9 |
| 5 | 6 | 8 | 10 | 10 | 11 | 11 |
| 5 | 6 | 8 | 10 | 10 | 11 | 11 |
| 6 | 7 | 9 | 11 | 11 | 12 | 12 |
| 6 | 7 | 9 | 11 | 11 | 12 | 12 |
- Draw up a table showing the probability distribution of \(X\).
- Calculate \(E(X)\).
- Find the probability that \(X\) is greater than \(E(X)\).
Log in to record attempts.