Based on data collected by the National Center for Health Statistics and made available to the public in

Question

the Sample Adult database, an estimate of the percentage of adults who indicated to have at some
point of their life been tested for HIV is 32 percent of U.S. adults in the database. Consider a simple
random sample of 15 adults selected at that time. Find the probability that the number of adults who
have been tested for HIV in the sample would be:

(b) Less than five (c) Between five and nine, inclusive
(d) More than five, but less than 10 (e) six or more.