The probability of a randomly selected adult in Jamaica being infected with HIV (human immunodeficiency virus) is 0.014. A clinic in Jamaica uses composite sampling to determine whether blood samples are positive.

a. Use the binomial probability formula to find the probability that a composite sample of 5 people has at least one positive test. hand and show all work

final answer as a decimal, rounded to the thousandth (three decimal places).

b. If the composite test is positive, then the clinic needs to individually test all 5 blood samples. Based on your answer from part b, do you recommend that the clinic continues to use composite sampling or should they strictly individually test? Explain.

c. In part a) you were instructed to use the binomial probability formula.

Specifically

describe how this problem meets each of the four conditions for the binomial probability formula.