Vehicle Driven Gender Truck Male Truck Male Truck Male Truck Male Truck Male SUV Male SUV Male SUV Male SUV Male SUV Male SUV Male SUV Male SUV Female SUV Female SUV Female SUV Male SUV Female SUV Female SUV Male Minivan Female Minivan Female Minivan Female Minivan Female Minivan Female Minivan Male Minivan Female Minivan Female Minivan Female Car Female Car Female Car Female Car Male Car Male Car Female Car Female Car Male Car Male Car Female Car Female Car Female Car Female Car Female Car Male Car Male Car Female Car Female Car Female Car Female Car Female Car Female Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities. a. What is the probability that the respondent is female? b. What is the probability that the 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 variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers?
Vehicle Driven Gender Truck Male Truck Male Truck Male Truck Male Truck Male SUV Male SUV Male SUV Male SUV Male SUV Male SUV Male SUV Male SUV Female SUV Female SUV Female SUV Male SUV Female SUV Female SUV Male Minivan Female Minivan Female Minivan Female Minivan Female Minivan Female Minivan Male Minivan Female Minivan Female Minivan Female Car Female Car Female Car Female Car Male Car Male Car Female Car Female Car Male Car Male Car Female Car Female Car Female Car Female Car Female Car Male Car Male Car Female Car Female Car Female Car Female Car Female Car Female Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities. a. What is the probability that the respondent is female? b. What is the probability that the 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 variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers?
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 7P: The Human Resources Manager for Optilytics LLC is evaluating applications for the position of Senior...
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I am having trouble with some of these questions. Especially the ones that are asking for multiple events.
Transcribed Image Text:Vehicle Driven
Gender
Truck
Male
Truck
Male
Truck
Male
Truck
Male
Truck
Male
SUV
Male
SUV
Male
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Male
SUV
Male
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SUV
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SUV
Female
SUV
Female
SUV
Male
SUV
Female
SUV
Female
SUV
Male
Minivan
Female
Minivan
Female
Minivan
Female
Minivan
Female
Minivan
Female
Minivan
Male
Minivan
Female
Minivan
Female
Minivan
Female
Car
Female
Car
Female
Car
Female
Car
Male
Car
Male
Car
Female
Car
Female
Car
Male
Car
Male
Car
Female
Car
Female
Car
Female
Car
Female
Car
Female
Car
Male
Car
Male
Car
Female
Car
Female
Car
Female
Car
Female
Car
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Car
Female
Transcribed Image Text:Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities.
a. What is the probability that the respondent is female?
b. What is the probability that the 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 variable "gender" and the event "vehicle driven" are statistically independent. What would this
mean for advertisers?
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