1. Let P(Z)= 0.4, P(Y)= 0.3, and . Find .
2. The table cross-classifies gender and weight status for 5186 American adults.

	Underweight	Heavy weight	Overweight	Obese	Total
Male	85	709	952	757	2503
Female	93	848	739	1003	2683
Total	178	1557	1691	1760	5186

Find the probability of the given event.

• Being underweight.
• Being a Female.
• Being a Femaleandunderweight.
• Being a Femaleorunderweight.
• Being Healthy weightandOverweight.

3. The table lists the smoking habits of a group of college students.

Sex	Non-Smoker	Regular Smoker	Heavy Smoker
Man	210	50	7
Woman	110	70	15

• Using the above table, answer the following questions:
• If a student is randomly selected from this group of college student,
• What is the probability that the student is either a non-smoker or woman?
• What is the probability that the student is not a heavy smoker?
• What is the probability that the student is a heavy smoker, given that the student is a male?
• Are the events N:{the student is a non-smoker} and W: {the student is a woman} independent? Explain.

4. Use the dice chart for the following questions:

	1	2	3	4	5	6
1	1, 1	1, 2	1, 3	1, 4	1, 5	1, 6
2	2, 1	2, 2	2, 3	2, 4	2, 5	2, 6
3	3, 1	3, 2	3, 3	3, 4	3, 5	3, 6
4	4, 1	4, 2	4, 3	4, 4	4, 5	4, 6
5	5, 1	5, 2	5, 3	5, 4	5, 5	5, 6
6	6, 1	6, 2	6, 3	6, 4	6, 5	6, 6

• If a die is rolled twice, find the probability that the sum is 4.
• If a die is rolled twice, find the probability that the sum is 7 or the 1st roll is a 3.
• If a die is rolled twice, find the probability that the sum is 7 given that the 1st roll is a 4.
• If a die is rolled twice, find the probability that the sum is 6 given that the 2st roll is a 3.
• When a die is rolled twice, are the events "sum is 6" and "2st roll is a 3" independent.
• When a die is rolled twice, are the event "sum is 10" and "1st roll is a 2" disjoint?