1. Assignment 3.1 due Tuesday March 4, 2014

2. Sta220 - Statistics Mr. Smith Room 310 Class #8

3. Section 3.2-3.4

4. 3.2 Unions and Intersections

5. Copyright © 2013 Pearson Education, Inc.. All rights reserved. Venn diagrams for union and intersection

6. Problem:

7. Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.8 Venn diagrams for die toss

8. Solution

10. Problem: Family Planning Perspectives reported on a study of over 200,000 births in New Jersey over a recent two-year period. The study investigated the link between the mother’s race and the age at which she gave birth (called maternal age). The percentages of the total number of births in New Jersey, by the maternal age and race classifications, are given in Table 3.4.

11. Table 3.4Percentage of New Jersey Birth Mothers, by Age and Race Race Maternal Age (Years) White WhiteBlack 2% 18-193%2% 20-2941%12% 33%5% This table is called a two-way table, since responses are classified according to two variables: maternal age (rows) and race (columns).

15. Solution On the White Board

16. 3.3 Complementary Events

18. Problem: Consider the experiment of tossing fair coins. Define the following event: A: {Observing at least one head}. a)Find P(A) if 2 coins are tossed. b)Find P(A) if 10 coins are tossed.

19. Solution On the White Board

20. 3.4 The Additive Rule and Mutually Exclusive Events

21. Additive Rule of Probability

22. Problem Hospital records show that 12% of all patients are admitted for surgical treatment, 16% are admitted for obstetrics, and 2% receive both obstetrics and surgical treatment. If a new patient is admitted to the hospital, what is the probability that the patient will be admitted for surgery, for obstetrics, or for both?

23. Solution Consider the following events: A: {A patient admitted to the hospital receives surgical treatment} B:{A patient admitted to the hospital receives obstetrics treatment}

24. Solution

26. Probability of Union of Two Mutually Exclusive Events CAUTION: The preceding formula is false if the events are not mutually exclusive. In that case (i.e. two non-mutually exclusive events), you must apply the general additive rule of probability.

27. Problem Consider the experiment of tossing two balanced coins. Find the probability of observing at least one head.

28. Solution

29. Assignment 3.2-3.4 due Friday March 7, 2014 at the beginning of class. This assignment is worth 45 points. Make sure you read the directions.