Show your work. You may use your book, notes, and other resources I have provided. You must not work with another person on this exam. If I have...

Show your work. 

You may use your book, notes, and other resources I have provided. You must not work with another person on this exam. If I have evidence that you worked or copied someone else’s work you may lose all points for that problem or potentially you will receive a zero on the exam; that goes for the other person as well. To avoid this potential problem, do not take this exam with someone else; do not talk about the problems in this exam with someone else. Instead, you can use problems from the homework as a conduit if needed. Do not compare answers with someone else. Write out values  to four decimal places if the decimal representation does not terminate after four decimals. For situations you can write the values  using fractions you can leave the answer in unreduced fraction form.

1. To diagnose colorectal cancer, the hemoccult test- among others- is conducted to detect occult blood in the stool. This test is used from a particular age on, but also in routine screening for early detection of colorectal cancer. Imagine you conduct a screening using the hemoccult test in a certain region. For symptom-free people over 50 years old who participate in screening using the hemoccult test, the following information is available for this region: