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Effectiveness of Vaccine A vaccine has a 90% probability
Chapter 4, Problem 17RE(choose chapter or problem)
Effectiveness of Vaccine A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, find the probability that he or she will contract the disease.
Questions & Answers
QUESTION:
Effectiveness of Vaccine A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, find the probability that he or she will contract the disease.
ANSWER:Solution:
Step 1 of 2:
It is given that a vaccine is effective in preventing a disease 90% of the times.
If a person is not vaccinated, then he has 50% probability of being affected by the disease.
Also, it is given that in a certain geographical area 25% of the people are vaccinated.
Using this we need to find the probability that a randomly selected person will contract the disease.