+165 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
+260 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
+260 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
