Probability question

q_fruit

New member
Joined
Jun 13, 2005
Messages
28
confused about this question..

Approximately 4% of Canadians have type AB blood. Suppose 70%of Canadians are urban dwellers. What is the probability that a Canadian selected at random

a) has type AB blood and also lives in the city?

b) does not have AB blood and lives in the country?

c) In a group of four randomly selected Canadians, what is the estimated probability that at least three of them have type AB blood?
 
They are independent so the probabilities are multiplied.
a) .04*.70 = 2.8%
b) .96*.30 = 28.8%
c) There is 1 way of choosing 4 people from 4 and the probability of all 4 having AB is .04^4
There are 4 ways of choosing 3 people from 4 and the probability of 3 having AB and 1 not, is .04^3*.96
The sum of those is
1*.04^4 + 4*.04^3*.96 = .025%
 
Top