In a math class, the distribution of grades was as follows: Grade A B C D F Number of students 6 13 9 4 2 If we select a student at random (Grade A-6 students) (Grade B-13 students) (Grade C-9 students) (Grade D-4 students) (Grade F-2 students)

(a) What is the probability that the student will have at least a C in the class?

(b) What is the probability that the student will have an A in the class, if it is known that the student has at least a C?

Question

Cottonball

Mathematics

3 June, 13:15

In a math class, the distribution of grades was as follows: Grade A B C D F Number of students 6 13 9 4 2 If we select a student at random (Grade A-6 students) (Grade B-13 students) (Grade C-9 students) (Grade D-4 students) (Grade F-2 students)

(a) What is the probability that the student will have at least a C in the class?

(b) What is the probability that the student will have an A in the class, if it is known that the student has at least a C?

+1

Answers (1)

Know the Answer?

Grant Peck · Answer 1

a) 14/17

b) 3/14

Step-by-step explanation:

6+13+9+4+2 = 34

a) P (C or better) = (6+13+9) / 34

= 28/35 = 14/17

b) P (A/C or better) = 6/28 = 3/14