Question

In: Statistics and Probability

After giving a test, below is the summary of grades by gender. A B C Total...

After giving a test, below is the summary of grades by gender.

A B C Total
Male 5 3 18 26
Female 11 7 16 34
Total 16 10 34 60

If a student is randomly chosen, find the probability that

  1. the student is female. Leave your answer as a reduced fraction.

      
  2. the student is female or earned grade A. Leave your answer as a reduced fraction.

      
  3. the student is female given he/she earned grade A. Leave your answer as a reduced fraction.

      

Solutions

Expert Solution

Probability that thestudent is female is 17/30

Probability that the student is female or earned grade A is 39/60

Probability that the student is female given he/she earned grade A is 11/16


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