Question 1059033: 2. Based on data from the National Center for Health Statistics, an estimated percentage of adults to have HIV test at some point of life is 32%. Consider a random sample of 15 adults at that time, and find out the probability that the number of adults having been tested for HIV in the sample.
a. 3 adults
b. Less than 5 adults;
c. Between 5 and 9 (inclusive);
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Based on data from the National Center for Health Statistics, an estimated percentage of adults to have HIV test at some point of life is 32%. Consider a random sample of 15 adults at that time, and find out the probability that the number of adults having been tested for HIV in the sample.
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Binomial Problem with n = 15 and p = 0.32
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a. P(3 adults) = 15C3*0.32^3*0.68^12 = binompdf(15,0.32,5) = 0.2130
b. P(Less than 5 adults) = binomcdf(15,0.32,4) = 0.4477
c. P(Between 5 and 9 (inclusive)) =
binomcdf(15,0.32,9)-binomcdf(15,0.32,4) = 0.5461
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Cheers,
Stan H.
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