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avatar+117 

Complete the two-way frequency table below, which shows the relationship between an adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:
 

                     Truck                 Car              Total

Female           5                      35 

Male              27                     21 

Total                                                            88



What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that he is a male? Are the events being male and buying a car independent?

 38%; they are dependent

 44%; they are dependent

 24%; they are independent

 21%; they are independent

failurewithasmile  Apr 15, 2017
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3+0 Answers

 #1
avatar+76918 
+2

                    Truck                 Car              Total

Female           5                      35                40

Male              27                     21                48

Total              32                     56                88

 

P(buying a car given a male )  =  21/88 = .238 ≈ 24%

 

 

cool cool cool

CPhill  Apr 15, 2017
 #2
avatar+117 
0

Thank you, that's what I came up with but it said I was incorrect. Maybe it's D?

failurewithasmile  Apr 15, 2017
 #3
avatar+76918 
+1

 

Let B  = Probability of buying a car and being male    21/88

Let M = Probability of being a male  =  48/88 

 

P(B l M)   =  P(B and M) / P(M)   =   (21/88) / (48/88)  = 21/48  = .4375  = 44%

 

cool cool cool 

CPhill  Apr 15, 2017

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