Question

The probability that a student uses the Academic Resource Center on a regular basis is 0.42 . In a group of 20 students, what is the probability that exactly 7 of them use the Academic Resource Center on a regular basis?

Answer 1

Solution

Given that ,

p = 0.42

1 - p = 0.58

n = 20

x = 7

Using binomial probability formula ,

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

P(X = 7) = ((20! / 7! (20 - 7)!) * 0.427 * (0.58)20 - 7

= 0.1502

Probability = 0.1502