Currently, the rate for new cases of diabetes in a year is 3.4 per 1000 (based o

Question

Currently, the rate for new cases of diabetes in a year is 3.4 per 1000 (based on data from the Centers for Disease Control and Prevention). When testing for the presence of diabetes, the Portland Diagnostics Labratory saves money by combining blood samples for tests. The combined sample tests positive, then the individual blood tests are performed. In a test for diabetes, blood samples from 10 randomly selected subjects are combined. Find the probability that the combined sample tests positive with at least 1 of the 10 people having diabetes. Is it likely that such combined samples test positive? Answer is 0.0335 How do I get it using excel????

Explanation / Answer

here P(a person does have diabetes) =3.4/1000

hence P(not have diabetes) =1-P(have diabetes) =1-3.4/1000

here probability that the combined sample tests positive with at least 1 of the 10 people having diabetes

=1-P(none of 10 people have diabetes) =1-(1-3.4/1000)10 =1-0.9665 =0.0335

( please revert for any clarification required)

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