A car company makes two models that come in three colors. The following table shows the production volume for last week:

Model   Blue   Brown  White   Total

X          302     105      200     607

Y           40      205      130     375

Total     342     310      330     982

a. What is probability that a car produce last week is Brown?

b. What is probability that a car produce last week is model X and Brown?

c. What is probability that a car produce last week is model X or Brown?

d. Given that a car produce last week is model X what is probability that is white?

e. Are the events of model X and Brown is independent?

f. Are the events of model X and Brown mutually exclusive?