Question

(5 points) In the United States, 82% of the population claim English as their mother tongue. Choose a person from the United States at random and a person from Canada at random, independently of each other. What is the probability that both have English as their mother tongue?

Answer 1

0.67

Explanation:

The times that I choose a person and it claim english as its mother tongue is a random variable with geometric distribution (in this case, the parameter is p=0.82).

Then:

P(X=2) = (0.82) x (0.82) = 0.6724