Questions: Homework: Section 3.4 Score: 0 / 9 Answered: 0 / 9 Question 1 Giving a test to a group of students, the table below summarizes the grade earned by gender. A B C Total -------------------------- Male 13 19 4 36 Female 2 8 17 27 Total 15 27 21 63 If one student is chosen at random, find the probability that the student was not a female and did not earn grade C. Round your answer to four decimal places.

Solution Steps

The total number of students who took the test is given as:

\[ N = 63 \]

To find the number of students who are not female and did not earn grade C, we consider the male students who earned grades A and B. The counts are:

• Male students earning grade A: \( 13 \)
• Male students earning grade B: \( 19 \)

Thus, the total number of students who are not female and did not earn grade C is:

\[ \text{Not Female and Not C} = 13 + 19 = 32 \]

The probability \( P \) that a randomly chosen student is not female and did not earn grade C is calculated as follows:

\[ P = \frac{\text{Not Female and Not C}}{N} = \frac{32}{63} \]

Calculating this gives:

\[ P \approx 0.5079 \]

Rounding the probability to four decimal places, we have:

\[ P \approx 0.5079 \]

Final Answer