34. Using the data in the Excel file Consumer Transportation Survey, develop a c

Question

34. Using the data in the Excel file Consumer Transportation Survey, develop a contingency table for Gender and Vehicle Driven then convert this table to a joint proba- bility distribution and compute marginal probabilities. a. What is the probability that a respondent is male b. What is the probability that a female respondent c. If it is known that an individual drives a car, what is d. If it is known that an individual is female, what is e. Determine whether the random variables "gender" pendent. What would this mean for advertisers? and drives a minivan? drives either a truck or an SUV the probability that the individual is male? the probability that she drives an SUV? and the event "vehicle driven" are statistically inde-

Explanation / Answer

a) Probability that the respondent is a male and drives a minivan:

For this probaility, we need to filter the columns to get males and vehicle as mini van, then take the total count of such respondents and divide it by the total count of respondents (unfiltered).

b) Probability that the respondent is a female and drives a truck or an SUV:

For this probaility, we need to filter the columns to get females and vehicle as truck or SUV, then take the total count of such respondents and divide it by the total count of respondents (unfiltered).

c) If it is known that the individual drives a car, what is the probability that the individual is a male:

For getting this probability, filter the vehicle as only car, then count the number of male respondents by filtering only males out of that data. Divide the count by total initial count with vehicle as only car.

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