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| Expected survival with inoculation | Expected survival—do nothing | |
|---|---|---|
| 0.979 | = | (x)(0.854)(1) + (x)(0.146)(0) + (1−x)(1) |
| 0.979 | = | (0.854)(x) + (1–x) |
| x–(0.854)(x) | = | 1−0.979 |
| (0.146)(x) | = | 0.021 |
| x | = | 0.021/0.146 |
| x | = | 0.144 |
