Data from a consumer transportation survey have been organized in the PivotTable
ID: 3049868 • Letter: D
Question
Data from a consumer transportation survey have been organized in the PivotTable below: If you can't see table/image, then contact tech support! Use this information to answer the questions below. Remember to show your work and/or explain your reasoning.
a). What is the probability that a respondent is male?
b). What is the probability that a respondent is male and drives a minivan?
c). What is the probability that a respondent is female?
d). If it is known than an individual is female, what is the probability that she drives an SUV?
e). If it is known that an individual drives a car, what is the probability that the individual is male?
Column Labels Count of Type Row Labels Female Male Grand Total Car Mini Van SUV Truck Grand Total 13 5 18 2 4 6 31 19 50 11 15Explanation / Answer
a) P(male) = 19 / 50 = 0.38
b) P(male and drives a minivan) = 2 / 50 = 0.04
c) P(female) = 31 / 50 = 0.62
d) P(drives an SUV | female) = P(drives an SUV and female) / P(female)
= (7/50) / (31/50)
= 7/31
= 0.2252
e) P(male | drives a car) = P(male and drives a car) / P(drives a car)
= (5/50) / (18/50)
= 5/18
= 0.2778
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