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 70 people entering a sports venue, it is found that there are 26 females, 45 people wearing a team jersey, and 17 females not wearing a team jersey.
Team Jersey No Team Jersey Total
Female 17 26
Male
Total 45 70
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 wearing a team jersey? Are the events being male and wearing a team jersey independent? (7 points)
a) 80%; they are independent
b) 80%; they are not independent
c) 82%; they are not independent
d) 51%; they are independent
