Question

Following is a relative-frequency distribution for the religious preference of Americans for the year 2000.

Preference Relative frequency Protestant 0.506

Catholic 0.250

Jewish 0.025

Other 0.069

None 0.150

what is the probability that randomly selected American has religious preferences:

a) Catholic

b) Not Jewish

c) Not Jewish, catholic or protestant

d) Catholic or protestant

Answer 1

a] From given information the probability that randomly selected American has religious preferences is Catholic is 0.25

b] From given information the probability that randomly selected American has religious preferences is NOT JEWISH is 1-0.025= 0.975

c] From given information the probability that randomly selected American has religious preferences is Not Jewish, catholic or protestant is 1-0.250-0.025-0.506= 0.219

d] From given information the probability that randomly selected American has religious preferences is Catholic or protestatnt is 0.506+0.25=0.756