# Joint Probability Problems with Mutually Independent Distributions.

The probability of Toyota building a new production plant is 70% and the probability of GM building a new one is 50%. The following are the probabilities associated with the countries Toyota would build a new plant:

U.S. .15

Canada .30

Mexico .30

Korea .25

The probabilities associated with the countries GM would build a new plant are:

U.S .10

Canada .60

Mexico .15

Korea .15

What is the probability that both will open a plant in Canada assuming the decisions are mutually statistically independent?

a. 2.1%

b. 6.3%

c. 13.3%

d. 90 %

e. None of the above

https://brainmass.com/statistics/probability/joint-probability-problem-mutually-independent-distributions-209013

#### Solution Preview

The answer is B.

The probability that Toyota will open a ...

#### Solution Summary

This solution calculates the probability of Toyota and GM building new plants.

$2.19