Anthony surveys a group of students at his school about whether they play a sport. This table shows the results broken down by gender.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Do not play a
Total
sport
Вoys
105
70
175
Girls
75
125
Total
180
120
300
50
Transcribed Image Text:Anthony surveys a group of students at his school about whether they play a sport. This table shows the results broken down by gender. Play a sport Do not play a Total sport Вoys 105 70 175 Girls 75 125 Total 180 120 300 50
Are being a girl and playing a sport independent events? Why or why not?
OA. Yes, they are independent, because P(girl) - 0.42 and P(girl plays
a sport) - 0.42
B. Yes, they are independent, because P(girl) = 0.58 and P(girl plays
a sport) - 0.58.
C. No, they are not independent, because Pgirl) × 0.42 and
P(girl plays a sport) 0.42.
D. Yes, they are independent, because P(girl) = 0.58 and P(girl plays
a sport) - 0.6.
Transcribed Image Text:Are being a girl and playing a sport independent events? Why or why not? OA. Yes, they are independent, because P(girl) - 0.42 and P(girl plays a sport) - 0.42 B. Yes, they are independent, because P(girl) = 0.58 and P(girl plays a sport) - 0.58. C. No, they are not independent, because Pgirl) × 0.42 and P(girl plays a sport) 0.42. D. Yes, they are independent, because P(girl) = 0.58 and P(girl plays a sport) - 0.6.
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