Answer:
a) 56.67% probability that the student is a woman
b) 16.67% probability that the student received an A
c) 63.33% probability that the student is a woman or received an A.
d) 83.33% probability that the student did not receive an A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have that:
30 students
13 men
17 women
2 men that got an A and 11 men that did not get an A.
3 women that got an A and 14 women that did not get an A.
a. Find the probability that the student is a woman.
30 students, of which 17 are women.
[tex]P = \frac{17}{30} = 0.5667[/tex]
56.67% probability that the student is a woman
b. Find the probability that the student received an A.
30 students, of which 5 received an A
[tex]P = \frac{5}{30} = 0.1667[/tex]
16.67% probability that the student received an A
c. Find the probability that the student is a woman or received an A.
30 students, of which 17 are women and 2 are men who received an A. So
[tex]P = \frac{19}{30} = 0.6333[/tex]
63.33% probability that the student is a woman or received an A.
d. Find the probability that the student did not receive an A.
30 students, of which 25 did not receive an A.
[tex]P = \frac{25}{30} = 0.8333[/tex]
83.33% probability that the student did not receive an A.
