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

Clifland

Clifland

Answered question

2021-01-02

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.

Answer & Explanation

Caren

Caren

Skilled2021-01-03Added 96 answers

Definition conditional probability: P(B|A)=P(AB)P(A)=P(AandB)P(A)       Female  Male  Total  Index finger 7845123 Ring finger 82152234 Same length 524395 Total 212240452 

R=ring finger longer F=female 

452 pupils' information is included in the table (given in the bottom right corner of the table). Additionally, 212 of the 452 pupils are female because 212 is listed in the table's "Total" row and "Female" column. The probability is calculated by dividing the number of likely outcomes by the total number of outcomes:

 P(F)=# of favorable outcomes# of possible outcomes=212452 

Due to the fact that 82 is listed in the row "Ring finger" and the column "Female" of the provided table, we can thus deduce that 82 of the 452 students are females and have a longer ring finger.

P(RandF)=# of favorable outcomes# of possible outcomes=82452 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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