Statistics

Q2. ( Statistics) After reading the description below, Compute the probability that only one of those five people actually has diabetes ( write 3 decimal points)


In a certain community, 10 percent of 50-60 years old adults and 15 percent of adults over 60 have diabetes. The health service in this community correctly diagnoses 96 percent of all persons with diabetes as having the disease and incorrectly diagnoses 1 percent of all persons without diabetes as having the diabetes. In a group of five people, two of them are 55 years old and the rest are 64 years old. All of them are diagnosed by the heath service as not having diabetes.