Math 1110-14 F17 Quiz: Quiz Review Test #3 (Copy) This Question: 1 pt 4301 44 (4

Question

Math 1110-14 F17 Quiz: Quiz Review Test #3 (Copy) This Question: 1 pt 4301 44 (40 complete) This Quiz: 44 pts Atest to determine whether a cenan antbody is present m997%effective This means that ther test wil accurately come ti when the antibody is not present (a false positive) is 0 003 Suppose the test is given to seven sandomly selected people who do not have the antbody coming back (a) What is the b) What is the probability that the test comes back positive for at least one of the (a) PCall 7 tests are negative).DRxrd to tur decimal places as needed 0b) Pt wast one postive)- (Round to four decimal places as needed)

Explanation / Answer

Here' answer to the questions :

P( negative) = .997. We solve using this data given to us:

a. P( all 7 are negative) = P( negative)^7 = .997^7 = .9792 ( we can assume independence of events)

the next part we can solve using the complementry method :

b. P( atleast one positive) = 1- P( all 7 negative) = 1-.9792 = .0208

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