QUESTION 6 [Include all of your answers in a SINGLE document and attach that doc

Question

QUESTION 6 [Include all of your answers in a SINGLE document and attach that document at the end of THIS problem. Label each answer clearly. Please begin each problem on a new page. Point values are indicated in the question body below.] Problem 6: Data from a consumer transportation survey have been organized in the PivotTable below: Use this informaton 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? [3 pts] b), what is the probability that a respondent is male and drives a minivan?3 pts! c). What is the probability that a respondent is female? 3 pts] d). f it is knon an an indvidual is female, what is the probablity that she drives an SUV 3 pts] e). If it is known that an individual drives a car, what is the probability that the individual is male? 3 pts]

Explanation / Answer

a) P(male) = 17/40 = 0.425

b) P(male and drives a minivan) = 2/40 = 0.05

c) P(female) = 23/40 = 0.575

d) P(drives an SUV | female) = P(female and drives an SUV) / P(female)

                                               = (3/40) / (23/40)

                                               = 3/23

                                               = 0.1304

e) P(male | drives a car) = P(male and drives a car) / P(drives a car)

                                      = (4/40) / (14/40)

                                      = 4/14

                                      = 0.2857

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