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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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2+0 Answers

 #1
avatar+79741 
+1

               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

 

56%, dependent is the answer

 

 

cool cool cool

 
CPhill  Dec 7, 2017
 #2
avatar+20 
+1

Wow... thank you so much

 
davidgba64  Dec 7, 2017

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