Question

An NGO (non-governmental organization) receives 150 applications for positions from college graduates. In the large population of college graduates, half are women. What is the probability that the proportion of women in the 150 applications is between 45% and 55%? (You can assume that these applicants are a random sample of all graduates.)

Answer 1

Solution:

Given:

n = 150

p=proportion of women in college graduates = 0.50

Therefore,

We have to find the probability that the proportion of women is between 45% and 55%.

That is,X is lies between 150 * 45/100 = 67.5 and 150*55/100 = 82.5

That is P(67.5 X 82.5)

Hence, The probability that the proportion of women in the 150 applications is between 45% and 55% = 0.7793

Done