Assume that some laboratory animal population gets infected with a new disease, which is such that the probability that an animal is infected is 0.01. A test designed for this disease is such that if an animal is known to be infected, it tests positive 97% of the time, whereas if non-infected it gets tested positive 0.5% of the time. 1. Write the information in this exercise with probabilities and conditional probabilities. 2. What is the probability that an animal is infected given that it tested positive?