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Complete the two-way frequency table below, which shows the relationship between 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 truck, given that he is a male? Are the events being male and buying a truck independent?

• 31%; they are independent
• 84%; they are dependent
• 56%; they are dependent
• 27%; they are independent

davidgba64  Dec 7, 2017
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#1
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Truck    Car    Total

Female  5            35        40

Male      27          21        48

Total      32          56        88

P( Buying a truck   given that he is male)

We have 48 males......27 of them buy a truck ....so

27 / 48  = 56%

If they are independent  we must have that

P(buying a truck)  + P(being male)  =  P(buying a truck) * P(being male)

(32/ 88)   +   (48/ 88)   =    32/88 * 48/88     ????

80/88     =  24/121

90.9 %  =  19.8%   ????   not true....so these are dependent events

CPhill  Dec 7, 2017
#2
+20
+1

Wow... thank you so much

davidgba64  Dec 7, 2017

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