The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. in tests for the virus, blood samples from 27 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.

Aplant manager is considering buying additional stamping machines to accommodate increasing demand. the alternatives are to buy 1 machine, 2 machines, or 3 machines. the profits realized under each alternative are a function of whether their bid for a recent defense contract is accepted or not. the payoff table below illustrates the profits realized (in $000's) based on the different scenarios faced by the manager. alternative bid accepted bid rejected buy 1 machine $10 $5 buy 2 machines $30 $4 buy 3 machines $40 $2 refer to the information above. assume that based on historical bids with the defense contractor, the plant manager believes that there is a 65% chance that the bid will be accepted and a 35% chance that the bid will be rejected. what is the expected value under perfect information (evpi)?