Probability - Finding Unknowns in Probability Models
Probability - Finding Unknowns in Probability Models
5 marks
An influenza virus is spreading through a city. A vaccination is available to protect against the virus. If a person has had the vaccination, the probability of catching the virus is 0.1; without the vaccination, the probability is 0.3. The probability of a randomly selected person catching the virus is 0.22.
- Find the percentage of the population that has been vaccinated. [3]
- A randomly chosen person catches the virus. Find the probability that this person has been vaccinated[2]
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Answer:(a) \(40\%\) (b) \(\frac2{11}\)
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