At a large university it is known that 40 of the students li

At a large university it is known that 40% of the students live on campus. The director of student life is going to take a random sample of 200 students. What is the probability that more than half of the sampled students live on campus?

Give your answer to 4 decimal places.

Solution

since an approximate method hasn\'t been specified,
use binomdist with n = 200, p = 0.4, q = 1-p = 0.6
more than half means ? 101
P[x ? 101] = sum C(200,x) * 0.4^x *0.6^(200-x) for x = 101 to 200 = 0.0017