The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the​ virus, blood samples from 12 people are combined. What is the probability that the combined sample tests positive for the​ virus? Is it unlikely for such a combined sample to test​ positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is nothing. ​(Round to three decimal places as​ needed.)

A certain affects virus 0.7% of the population. A test used to detect the virus in a person is positive 89% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below.   Infected Not Infected Total Positive Test       Negative Test       Total 700 99,300 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Infected | Positive Test)= %b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Not Infected | Negative Test) = %

The mean GPa of university students is 2.3 with a SD of 1.2. If you were to draw 36 students at random and compute their mean GPA, what is the exact probability that this mean will be 2.67 or less? Use four decimal places.

Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4 times as many men as women. A person is chosen at random from the population and is known to have night- blindness. What is the probability that this person chosen is a woman? Do not include a % sign when reporting your answer. Answer in units of percent. Your answer must be within ± 2.0% Your answer must be within ¹2%.