Problems: Assignment 1
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- page 20, number 43.
- page 83, number 12.
- page 86, number 32.
- Consider a population of 200 million people of whom 200 thousand have a
certain condition. A test is available with the following properties.
Assuming that a person has the condition the probability that the test
detects the condition is 0.9. Assuming that a person does not have the
condition the test detects (incorrectly) the condition with probability 0.001.
A person is picked at random from the 200 million people and the test is
- What is the chance that the test detects the condition for this randomly
- Assuming that the condition is detected by the test for this randomly
selected person what is the chance that the person has the condition?
- A mandatory testing program is contemplated. If all 200 million are
tested about how many positive results should be expected? Of these
about how many will not have the condition?