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Complete the two-way frequency table below, which shows the relationship between a person's gender and whether he or she wears his or her favorite sports team's jersey to sporting events. From a sample of 60 people entering a sports venue, it is found that there are 22 females, 40 people wearing a team jersey, and 17 females not wearing a team jersey.
 

Team JerseyNo Team JerseyTotal

Female 1722

Male   

Total40 60



What is the probability (rounded to the nearest whole percent) that a person entering a sports venue will be a male given that he or she is not wearing a team jersey? Are the events being male and not wearing a team jersey independent?

 

 A: 8%, they are not independent 15%,

B: they are not independent 5%,

C:they are independent 33%

D: they are independent

 Feb 12, 2019
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                    Team Jersey         No Team Jersey        Total

Female              5                         17                            22

Male                 35                          3                            38   

                         40                        20                            60

 

P(Male / Not wearing a team jersey)    =  3 / 20     =  15%

 

P(male/ Not wearing a team jersey) is independent if :

 

P( Male / Not wearing a team jersey)  =  P(Male) * P(Not  wearing a team jersey)

 

                  .15                   =        38/60 *    20/60 

 

                  .15      not equal to  .21

 

So.....not independent

 

 

cool  cool cool

 Feb 12, 2019

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