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.

CHAPTER 15 PART 2 EXAMPLES

JeansOtherTotal Female81119 Male12517 Total 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?

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?

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.

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

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

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