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
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
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