Answer: 0.4402
Explanation:
Given : The proportion of the registered voters in a country are Republican = P=0.50
Sample space = 36
The test statistic for proportion :-

For p= 0.477

For p= 0.58

Now, the probability that the proportion of freshmen in the sample is between 0.477 and 0.58 (by using the standard normal distribution table):-

Hence, the probability that the proportion of freshmen in the sample is between 0.477 and 0.580 = 0.4402