probablity

Question

test to determine whether a certain antibody is present is 99.599.5?% effective. This means that the test will accurately come back negative if the antibody is not present? (in the test? subject). The probability of a test coming back positive when the antibody is not present? (a false? positive) is 0.0050.005. Suppose the test is given to fivefive randomly selected people who do not have the antibody.
?(a) What is the probability that the test comes back negative for all fivefive ?people?
?(b) What is the probability that the test comes back positive for at least one of the fivefive ?people?

Answer 1

First question:  Do you have typo in your numbers?  What is 99.599.5% ?  Did you intend to have two decimal points?  Or did you mean 99.5995%  ?  Similar for the second number :  0.0050.005.