Question

A distribution of grades in an introductory statistics course (where A = 4, B = 3, etc) is: X 0 1 2 3 4 P(X) 0.1 0.17 0.21 0.32 0.2 Part a: Find the probability that a student has passed this class with at least a C (the student's grade is at least a 2).

Answer 1

The probability that a student has passed this class with at least a C is 0.73

Explanation:

A = 4 B = 3 C = 2 D = 1 E = 0

P(0) = 0.1

P(1) = 0.17

P(2) = 0.21

P(3) = 0.32

P(4) = 0.2

Probability that student passed this class with at least a C mean the score must be more than C

P(X\geq 2) = P(2) + P(3) + P(4)\\

P(X\geq 2) = 0.21 + 0.32 + 0.2\\

P(X\geq 2) = 0.73