SOLUTION: Whooping cough (pertussis) is a highly contagious bacterial infection that was a major cuase of childhood deaths before the development of vaccines. About 80% of unvaccinated child

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Question 1176923: Whooping cough (pertussis) is a highly contagious bacterial infection that was a major cuase of childhood deaths before the development of vaccines. About 80% of unvaccinated children who are exposed to whooping cough will develop the infection, as opposed to only about 5% of vaccinated children.
A group of 5 vaccinated children at a nursery school are exposed to whooping cough by playing with an infected child. What is the probability that at least one of the 5 children develop an infection?

Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.

The probability that at least one of the 5 vaccinated children will develop the infection is the COMPLEMENT 

to the probability that NO ONE will develop the infection. 


So the answer to the problem's question is  P = 1 -  = 1 -  = 0.2262 = 22.62%.    ANSWER

Solved.



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