1. Bell Ringer Employment data at a large company reveal that 72% of the workers are married, 44% are college graduates, and half of the college grads are married. Create a Venn diagram for this data.

2. CHAPTER 15 PART 2 EXAMPLES

3. JeansOtherTotal Female81119 Male12517 Total201636 1.What is the probability that a male wears jeans? 2.What is the probability that someone wearing jeans is male? 3.Are being male and wearing jeans disjoint? 4.What is the probability that a randomly selected student will be female? 5.What is the probability that a randomly selected student will be wearing jeans? 6.What is the probability that a student is wearing jeans, given that the student is female? 7.Does it appear that whether a student wears jeans is independent of gender?

4. A bakery orders eggs from three different companies: 10% from Company A, 15% from Company B, and 75% from Company C. Some of the eggs that are ordered are rotten: 5% from Company A are rotten; 3% from Company B are rotten; and 0.8% from Company C are rotten. A baker discovers that one of his randomly selected eggs is rotten. What is the probability that the rotten egg came from Company A?

7. In April 2003, Science magazine reported on a new computer-based test for ovarian cancer, “clinical proteomics,” that examines a blood sample for the presence of certain patterns of proteins. Ovarian cancer, though dangerous, is very rare, afflicting only 1 of every 5000 women. The test is highly sensitive, able to correctly detect the presence of ovarian cancer in 99.97% of women who have the disease. However, it is unlikely to be used as a screening test in the general population because the test gave false positives 5% of the time. Why are false positives such a big problem? Draw a tree diagram and determine the probability that a woman who tests positive using this method actually has ovarian cancer. Hint: These problems that talk about tests that give positives/negatives almost always require use of a tree.

8. In April 2003, Science magazine reported on a new computer-based test for ovarian cancer, “clinical proteomics,” that examines a blood sample for the presence of certain patterns of proteins. Ovarian cancer, though dangerous, is very rare, afflicting only 1 of every 5000 women. The test is highly sensitive, able to correctly detect the presence of ovarian cancer in 99.97% of women who have the disease. However, it is unlikely to be used as a screening test in the general population because the test gave false positives 5% of the time. Why are false positives such a big problem? Draw a tree diagram and determine the probability that a woman who tests positive using this method actually has ovarian cancer. Ovarian Cancer No Ovarian Cancer Tests Positive Tests Negative 0.9998 0.9997 0.05 0.0002 0.0003 0.95

9. How to answer on a Free Response question on the AP test:

12. Today’s Assignment:  Practice  Add to HW: page 361 #5-10