Name:_______________________________

Homework 8, Math 366, Spring 98

HW8, Due Monday, March 16, 1998

1. The frequencies of kidney failure are summarized in the following table, by race and city of residence.

Miami New York Los Angeles Total

Blacks 56 63 32 151

Whites 76 93 98 267

Hispanics 64 32 50 146

Total 196 188 180 564

	Miami	New York	Los Angeles	Total
Blacks	56	63	32	151
Whites	76	93	98	267
Hispanics	64	32	50	146
Total	196	188	180	564

Use these frequencies to develop a joint probability model for answering the following questions for a randomly selected patient from one of these three cities.

(a) Find the probability that the patient resides in Los Angeles.
(b) Find the conditional probability that the patient resides in Los Angeles if he or she is Hispanic.
(c) Is the event "patient lives in Los Angeles" independent of the event "patient is Hispanic"? Explain.
(d) Find the conditional probability that the patient is black if he or she resides in new York.
(e) Find the probability that the patient is white if he or she resides in Miami.

2. A survey shows that 80% of all households have a color television set and 30% have a microwave oven. If 20% have both a color TV and a microwave, what percentage have neither?

3. Do 1 & 2 of Activity 5.8.

4. Do 1 of Activity 5.9.

5. Do 3 of Activity 5.10.

6. Do 2 of Activity 5.11.