3. Consider data on small pox: 96.08% of residents were not vaccinated, and 85.88% of the residentswho were not vaccinated ended up surviving. What is the probability that a resident was notvaccinated and lived?

In a city, a rare disease occurs in 2% of the population, but certain symptoms are fairly common (10%) due to allergies. It is known that 90% of people with the rare disease exhibit those symptoms.Based on this information, what is the probability that a person has the rare disease when they exhibit those symptoms?

A scientist claims that 4%4% of viruses are airborne.If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 849849 viruses would be greater than 3%3%? Round your answer to four decimal places.

According to a recent survery, in 2024 about 20% of the people in McAllen, did not have health insurance. If we select 8 people from Mcallen at random, what is the probability that 1,2, or 3,of them do not have health insurance?

Two newspapers X and Y are published in a certain city. It is estimated from a survey that16% read X, 14% read Y and 5% read both the newspapers. Find the probability that a randomlyselected person does not read any newspaper.

The probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the probability that thenumber of patients alive till 63 years isa. from the distribution table find the nature of curve whether it is ____________YOU CAN USE ONLINE SIMULATION CALCULATOR.