1. pg 287 Finger length and gender Is there a relationship between gender and relative finger length? To find out, we randomly selected 452 U.S. high school students who completed a survey. The two-way table summarizes the relationship between gender and which finger was longer on the left hand (index finger or ring finger). Longer finger Index finger Ring finger Same length Total Gender Female 78 82 52 212 Male Total 45 123 152 234 43 95 240 452 Suppose we randomly select one of the survey respondents. Define events R: ring finger longer and F: female. (a) Find P(R | F). Interpret this value in context. (b) Given that the chosen student does not have a longer ring finger, what's the probability that this person is male? Write your answer as a probability statement using correct symbols for the events.

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1.
pg 287
Finger length and gender Is there a relationship between gender and
relative finger length? To find out, we randomly selected 452 U.S. high
school students who completed a survey. The two-way table summarizes
the relationship between gender and which finger was longer on the left
hand (index finger or ring finger).
Longer finger
Index finger
Ring finger
Same length
Total
Gender
Female
78
82
52
212
Male
45
152
43
240
Total
123
234
95
452
Suppose we randomly select one of the survey respondents. Define events R:
ring finger longer and F: female.
(a) Find P(R | F). Interpret this value in context.
(b)
Given that the chosen student does not have a longer ring finger, what's the
probability that this person is male? Write your answer as a probability
statement using correct symbols for the events.
Transcribed Image Text:1. pg 287 Finger length and gender Is there a relationship between gender and relative finger length? To find out, we randomly selected 452 U.S. high school students who completed a survey. The two-way table summarizes the relationship between gender and which finger was longer on the left hand (index finger or ring finger). Longer finger Index finger Ring finger Same length Total Gender Female 78 82 52 212 Male 45 152 43 240 Total 123 234 95 452 Suppose we randomly select one of the survey respondents. Define events R: ring finger longer and F: female. (a) Find P(R | F). Interpret this value in context. (b) Given that the chosen student does not have a longer ring finger, what's the probability that this person is male? Write your answer as a probability statement using correct symbols for the events.
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