A test was given to a group of students. The grades and gender are summarized belowA B C TotalMale 6 7 9 22Female 14 4 8 26Total 20 11 17 481a) What fraction of the students were males who got an "A"? (Answer should be a reduced fraction, where possible.) 1b) What percent of the students were males who got an "A"? (Round to the nearest hundredth of a percent) %2) If one student is chosen at random, a) What is the probability that the student was a female who earned a "C" ? (Round to the nearest ten thousandth.) b) Find the probability that the student was NOT a female who earned a "C". (Round to the nearest ten thousandth.)
Question
A test was given to a group of students. The grades and gender are summarized belowA B C TotalMale 6 7 9 22Female 14 4 8 26Total 20 11 17 481a) What fraction of the students were males who got an "A"? (Answer should be a reduced fraction, where possible.) 1b) What percent of the students were males who got an "A"? (Round to the nearest hundredth of a percent) %2) If one student is chosen at random, a) What is the probability that the student was a female who earned a "C" ? (Round to the nearest ten thousandth.) b) Find the probability that the student was NOT a female who earned a "C". (Round to the nearest ten thousandth.)
Solution
1a) The fraction of students who were males that got an "A" is calculated by dividing the number of male students who got an "A" by the total number of students.
In this case, there are 6 male students who got an "A" and a total of 48 students.
So, the fraction is 6/48 which simplifies to 1/8.
1b) To find the percentage of students who were males that got an "A", we use the same numbers as in the previous step but multiply the result by 100 to convert it to a percentage.
So, (6/48) * 100 = 12.5%.
2a) The probability that a student chosen at random was a female who earned a "C" is calculated by dividing the number of female students who earned a "C" by the total number of students.
In this case, there are 8 female students who earned a "C" and a total of 48 students.
So, the probability is 8/48 = 0.1667 when rounded to the nearest ten thousandth.
2b) The probability that a student chosen at random was NOT a female who earned a "C" is calculated by subtracting the probability that a student was a female who earned a "C" from 1.
So, 1 - 0.1667 = 0.8333 when rounded to the nearest ten thousandth.
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