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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?

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?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Vehicle Driven Gender Male Truck Truck Truck Male Male Truck SUV SUV Male Male Male ŠUV SUV Male Male SUV Female ŠUV Male SUV Male SUV Male SUV Female Female SUV SUV Female SUV Female SUV Female Female ŠUV SUV Male Minivan Female Minivan Female Minivan Female Minivan Female Minivan Female Minivan Male Minivan Female Minivan Female Minivan Female Car Female Čar Female Car Female Car Male Car Male Čar Female Čar Female Car Male Car Male Female Car Car Female Car Female Car Car Female Female Car Male Car Male Car Female Female Car Car Female Female Car Car Car Female Female
Transcribed Image Text:Vehicle Driven Gender Male Truck Truck Truck Male Male Truck SUV SUV Male Male Male ŠUV SUV Male Male SUV Female ŠUV Male SUV Male SUV Male SUV Female Female SUV SUV Female SUV Female SUV Female Female ŠUV SUV Male Minivan Female Minivan Female Minivan Female Minivan Female Minivan Female Minivan Male Minivan Female Minivan Female Minivan Female Car Female Čar Female Car Female Car Male Car Male Čar Female Čar Female Car Male Car Male Female Car Car Female Car Female Car Car Female Female Car Male Car Male Car Female Female Car Car Female Female Car Car Car Female 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? Click the icon to view gender and vehicle driven data. a. The probability that the respondent is female is (Type an integer or a decimal. Do not round.)
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? Click the icon to view gender and vehicle driven data. a. The probability that the respondent is female is (Type an integer or a decimal. Do not round.)
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