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# From a sample of 88 adults...

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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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#1
+75362
+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%

CPhill  Apr 15, 2017
#2
+117
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Thank you, that's what I came up with but it said I was incorrect. Maybe it's D?

failurewithasmile  Apr 15, 2017
#3
+75362
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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%

CPhill  Apr 15, 2017

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