HW 1 (Follows Lesson 1)

1. A MHHS student is chosen at random.
Consider the events:
E1= the person chosen is a senior
E2 = the person chosen is a freshman
E3 = the person chosen lives on White Meadow Lake
(a) Are E1 and E2 mutually exclusive? Explain.
(b) Are E1 and E3 mutually exclusive? Explain.

2. The following table presents the probability distribution of foreign-born residence of the United States and their region of birth:

A. One foreign born indivual is randomly selected...

i. Find P(Latin American)

ii. Find P(Not Asia)

iii. Find P(Europe or Asia)

iv. Find P(Asia or Africa or N.America)

B. What type of probabilities are these and why?

3. Musical styles other than rock and pop are becomming more popular. A survey of college students finds that 42% like country music, 30% like gospel music, and 10% like both. Let C = students likes country; Let G = student likes gospel music.

A. Draw a Venn Diagram of this situation

B. What percent of college students like either country or gospel?

C. What percent of college students like country but not gospel?

D. Are Country Music and Gospel Music mutually exclusive events? Show.

4. Complete on Page 282 #9, 11, 13, and 15