Using the data in the Excel file Consumer Transportation Survey, develop a contingency table for Gender and Vehicle Driven; then convert this table into probabilities.
a. What is the probability that respondent is female?
b. What is the probability that a respondent drives an SUV?
c. What is the probability that a respondent is male and drives a minivan?
d. What is the probability that a female respondent drives either a truck or an SUV?
e. If it is known that an individual drives a car, what is the probability that the individual is female?
f. If it is known that an individual is male, what is the probability that he drives an SUV?
g. Determine whether the random variables “ gender” and the event “ vehicle driven” are statistically independent. What would this mean for advertisers?