Atest to determine whether a certain antibody is present is 99.5% effective. this means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.5% of the time. the probability of a test coming back positive when the antibody is not present (a false positive) is 0.005. suppose the test is given to six randomly selected people who do not have the antibody. (a) what is the probability that the test comes back negative for all six people? (b) what is the probability that the test comes back positive for at least one of the six people?

The probability that a u.s. resident has traveled to canada is 0.18 and to mexico is 0.09. a. if traveling to canada and traveling to mexico are independent events, what is the probability that a randomly-selected person has traveled to both? (page 109 in the book may ) b. it turns out that only 4% of u.s. residents have traveled to both countries. comparing this with your answer to part a, are the events independent? explain why or why not. (page 119 may ) c. using the %’s given, make a venn diagram to display this information. (don’t use your answer to part a.) d. using the conditional probability formula (page 114 in the book) and the %’s given, find the probability that a randomly-selected person has traveled to canada, if we know they have traveled to mexico.