A viral infection is spread by contact with an infected person. Suppose that an infected person has contact with 12 healthy people, let X denote the number of people (out of these 12) who are infected. By "infected" we mean that the person develops symptoms of the infection. Based on previous research, the infection rate is 20%.
What values of X suggest that the infection rate is higher than 20%?
| A | | B | | C | |
| :--- | :--- | :--- | :--- | :--- | :--- |
| x | P (X=x) | x | P (X=x) | x | P (X=x) |
| 0 | .0022 | 0 | .0687 | 0 | .1422 |
| 1 | .0174 | 1 | .2062 | 1 | .3012 |
| 2 | .0639 | 2 | .2835 | 2 | .2924 |
| 3 | .1419 | 3 | .2362 | 3 | .1720 |
| 4 | .2128 | 4 | .1329 | 4 | .0683 |
| 5 | .2270 | 5 | .0532 | 5 | .0193 |
| 6 | .1766 | 6 | .0155 | 6 | .0040 |
| 7 | .1009 | 7 | .0033 | 7 | .0006 |
| 8 | .0420 | 8 | .0005 | 8 | .0001 |
| 9 | .0125 | 9 | .0001 | | |
| 10 | .0025 | | | | |
| 11 | .0003 | | | | |
8, 9, 10, 11, 12
4, 5, 6, 7, 8, 9, 10, 11, 12
5, 6, 7, 8, 9, 10, 11, 12