etermine whether a certain antibody is present is 99.6% effective. This means th negative if the antibody is not present (in the test subject) 99.6% of the time. T ck positive when the antibody is not present (a false positive) is 0.004. Suppose selected people who do not have the antibody. the probability that the test comes back negative for all seven people? the probability that the test comes back positive for at least one of the seven p

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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11:00
(a) P(all 7 tests are negative) =
|||
A test to determine whether a certain antibody is present is 99.6% effective. This means that the test will accurately
come back negative if the antibody is not present (in the test subject) 99.6% of the time. The probability of a test
coming back positive when the antibody is not present (a false positive) is 0.004. Suppose the test is given to seven
randomly selected people who do not have the antibody.
(a) What is the probability that the test comes back negative for all seven people?
(b) What is the probability that the test comes back positive for at least one of the seven people?
=
Vo) 1
LTE2
(Round to four decimal places as needed.)
O
...| 46 ....
85%
Transcribed Image Text:11:00 (a) P(all 7 tests are negative) = ||| A test to determine whether a certain antibody is present is 99.6% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.6% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.004. Suppose the test is given to seven randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all seven people? (b) What is the probability that the test comes back positive for at least one of the seven people? = Vo) 1 LTE2 (Round to four decimal places as needed.) O ...| 46 .... 85%
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