Is there a relationship between gender and relative finger length? To find out, we randomly selected 452 U.S.

Clifland 2021-01-02 Answered

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)

. GenderLonger finger Female  Male  Total  Index finger 7845123 Ring finger 82152234 Same length 524395 Total 212240452

Suppose we randomly select one of the survey respondents. Define events R: ring finger longer and F: female. Find P(R|F). Interpret this value in context.

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Expert Answer

Caren
Answered 2021-01-03 Author has 96 answers

Definition conditional probability: P(B|A)=P(AB)P(A)=P(AandB)P(A) Solution  Female  Male  Total  Index finger 7845123 Ring finger 82152234 Same length 524395 Total 212240452 R=ring finger longer F=female We note that the table contains information about 452 students (given in the bottom right corner of the table). Moreover, 212 of the 452 students are female, because 212 is mentioned in the row ” Total” and in the column ”Female” of the table. The probability is the number of favorable outcomes divided by the number of possible outcomes: P(F)=# of favorable outcomes# of possible outcomes=212452 Next, we note that 82 of the 452 students are females with a longer ring finger, because 82 is mentioned in the row ” Ring finger” and in the column ”Female” of the given table. P(RandF)=# of favorable outcomes# of possible outcomes=82452 Use the definition of conditional probability: P(R|F)=P(RandF)P(F)=82/452212/452=42212=411060.3868=38.68 38.68% of the female students have a longer ring finger.

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