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

Region

Europe
E

Asia
S

Africa
F

Other
O

Latin American
L

North America
N

Probability
0.153
.0.277
0.03
0.001
0.512
0.027

Five foreign born indivuasl are randomly selected...

assumming independence...

i. Find the probability that all 5 were born in Asia.

ii. Find the probability that non of the 5 were born in Asia.

iii. Find the probabilty that at least one of the 5 was born in Asia.

iv. Find the probability that all 5 were born in Latin America.

v. Find the probability that non of the 5 were born in Latin America.

vi. Find the probabilty that at least one of the 5 was born in Latin America.

2. 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.

Ten college students are randomly selected...

assumming independence...

i. Find the probability that all 10 liked country music.

ii. Find the probability that non of the 10 liked country music.

iii. Find the probabilty that at least one of the 10 liked country music.

iv. Find the probability that all 10 liked gospel music.

v. Find the probability that non of the 10 liked gospel music.

vi. Find the probabilty that at least one of the 10 liked gospel music.