SOLUTION: 10 People are randomly selected from a population where it is know that 22% of the population have diabetes. a. Define what a trial would be, what a success would be, and what a

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Question 1045183: 10 People are randomly selected from a population where it is know that 22% of the population have diabetes.
a. Define what a trial would be, what a success would be, and what a failure would be.
b. What is the probability that all 10 of the people have diabetes.
c. What is the probability that none of the 10 have diabetes?
d. What would be the average or expected amount of people with diabetes out of a sample of 10 people from this population?
e. What is the probability that at least three of them have diabetes?
f. What is the probability that no more that two of them have diabetes?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. A trial would be determining if an element of the sample has diabetes. A success would be positive for diabetes, while a failure would be negative for diabetes. (Success rate is 0.22, while failure rate is 0.78.)
b. What is the probability that all 10 of the people have diabetes.
0.22%5E10+=+0.0000002656, to four significant figures.

c. What is the probability that none of the 10 have diabetes?
0.78%5E10+=+0.08336, to four significant figures.

d. What would be the average or expected amount of people with diabetes out of a sample of 10 people from this population?
np+=+10%2A0.22+=+2.2, or simply 2 people on the average.

e. What is the probability that at least three of them have diabetes?
to three significant figures.

f. What is the probability that no more that two of them have diabetes?
to three significant figures.