An NGO (non-governmental organization) receives 150 applications for positions from recent NU graduates. Assume that these applicants can be viewed...

An NGO (non-governmental organization) receives 150 applications for positions from recent NU graduates. Assume that these applicants can be viewed as a random sample of all NU graduates. What is the probability that between 45% and 55% of them are women if 50% of all recent NU graduates are women? (Round the standard deviation of the sample mean to four decimal places. Round your final answer to four decimal places.  Remember to express your answer as a proportion.)