Consider a group of 100 students. Assume 30 of them are seniors and 50 students live on campus. Suppose 10 of the students who live on campus are seniors. Suppose a student is selected randomly, >>>. If the selected student lives on campus, what is the probability that he is a senior? (answer using two decimal places) >>>. If the selected student does not live on campus, what is the probability that he is a senior? (answer using two decimal places) Note that 5% of the population suffers from a particular disease. There is a diagnostic test to identify this disease. If a person who has the disease undergoes the test, 99% the test becomes positive. Similarly, if a person who does not have this disease undergoes this test, 5% the time the test becomes positive. >>>> If a randomly selected person undergoes this test and the test becomes positive, what is the probability that he actually does not have the disease? answer to the nearest FOUR decimal places. >>>>> If a randomly selected person undergoes this test, what is the probability that he gets a negative result? answer to the nearest THREE decimal places. Consider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is selected from class I, then he has 10% chance to make an A. Assume that these probabilities for the class II and III are 15% and 20% respectively. If a student is selected randomly and has an A, what is the probability that he is from class III. answer to the nearest FOUR decimal places