Please help me!!!!! I don't know how to do this
2 answers:
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Answer:
( a ) Probability that the test comes back negative for all four people = .9723
( b ) Probability that t he test comes back positive for at least one of the four people = .0277
Step-by-step explanation:
Given
The probability of the test will accurately come back negative if the antibody is not present = 99.1 = .991
The probability of the test will accurately come back positive if the antibody is not present = .009
Suppose the test is given to four randomly selected people who do not have the antibody .
( a ) Probability that the test comes back negative for all four people =
= = .9723
If we say E = P( all 4 test are negative) or we say E = P( not of the all 4 test are positive)
P( at least one of the 4 test are positive) = 1 - P( not of the all 4 test are positive) = 1 - P( all 4 test are negative)
( b ) Probability that t he test comes back positive for at least one of the four people = 1 - P( all 4 test are negative)
= 1 - .9723
= .0277