SOLUTION: An engineering school reports that 60% of its students are male (M), 31% of its students are between the ages of 18 and 20 (A), and that 25% are both male and between the ages of 1

Algebra ->  Probability-and-statistics -> SOLUTION: An engineering school reports that 60% of its students are male (M), 31% of its students are between the ages of 18 and 20 (A), and that 25% are both male and between the ages of 1      Log On


   



Question 1123870: An engineering school reports that 60% of its students are male (M), 31% of its students are between the ages of 18 and 20 (A), and that 25% are both male and between the ages of 18 and 20.
What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20?

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Every student is either male or female. Given that 60% are male, the percentage of females is ____.

(2) Every student is either between the ages of 18 and 20, or not in that age range. Given that 25% of the students are male and in that age range, and that 31% of all students are in that age range, the percentage of students that are female and in that age range is ____.

(3) From (1) and (2), the percent of students that are female and not in that age range is ____.

The answer to (3) is the answer to the problem.