Homework: Problem Set 4 Score: 0 of 2 pts 5.3.15 22 of 28 (22 complete) A test t
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Homework: Problem Set 4 Score: 0 of 2 pts 5.3.15 22 of 28 (22 complete) A test to determine whether a certain antibody is present is 99.2% effective. This means that the test will accurately come back negative if the antibody is not present in the test subject) given to four randomly selected people who do not have the antibody (a) What is the probability that the test comes back negative for all four people? (b) What is the probability HW Score: 60.06%, 31.83 of 53 pts 99 2% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.008. Suppose the test is Question Help t that the test comes back positive for at least one of the four people? (a) P(all 4 tests are negative)(Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 1 part Clear All Got it!Explanation / Answer
a) Probability is:
0.992 * 0.992 * 0.992 * 0.992 = 0.9684
b) The only possibilities for outcomes are: 0 come back positive, 1 does, 2 does, 3 does, or all 4 come back positive. The sum of these probabilities must be 1 (i.e. p(0) + p(1) + p(2) + p(3) + p(4) = 1).
0.9684 + p(at least one) = 1
p(at least one) = 1 - 0.9684 = 0.0316
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