Events A and B are mutually exclusive. Suppose event A occurs with probability 0.48 and event B occurs with probability 0.42. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). (b) Compute the probability that either B occurs without A occurring or A and B both occur.

The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?

each individual probability value of X must lie between zero and one. inclusive. true  false

A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?