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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 Jersey    No Team Jersey   Total

Female                                    17                22

Male

Total           40                                             60



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

 

A 28%, they are not independent

B 77%, they are independent

C 85%, they are not independent 

D 37%, they are independent

hay24  Apr 12, 2018

Best Answer 

 #1
avatar+374 
+3

              Team Jersey    No Team Jersey   Total

Female        5                      17                    22

Male           35                      3                     38 

Total           40                      20                   60

 

(17/22)*100=77%

B 77%, they are independent

 

smileysmileysmiley

qualitystreet  Apr 12, 2018
edited by qualitystreet  Apr 12, 2018
 #1
avatar+374 
+3
Best Answer

              Team Jersey    No Team Jersey   Total

Female        5                      17                    22

Male           35                      3                     38 

Total           40                      20                   60

 

(17/22)*100=77%

B 77%, they are independent

 

smileysmileysmiley

qualitystreet  Apr 12, 2018
edited by qualitystreet  Apr 12, 2018

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