Question

The success rate of a freshman graduating at the same college they started at is 73%. For a group of 15 students, what is the probability that exactly 8 graduate? (round your answer to the nearest hundredth)

Answer 1

Probability of graduating is 73% = 0.73

Probability of not graduating = 1-73% = 0.27

Number of students (n) = 15

Number of graduates (x) = 8

Use the binomial probability formula:

P(x) = (n/x) *p^x * (1-p)^n-x

P(8) = 15/8 * 0.73^8 * 0.27^7

P(8) = 0.0543

Rounded to nearest hundredth = 0.05