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 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?

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