According to One Study, 50% of Americans Admit to Overeating

According to one study, 50% of Americans admit to overeating sweet foods when stressed. Suppose that the 50% figure is correct and that a random sample of n = 100 Americans is selected.
Does the distribution of , the sample proportion of Americans who relieve stress by overeating sweet foods, have an approximately normal distribution?
______________
What is the mean?
______________
What is the standard deviation?
______________
What is the probability that the sample proportion, , exceeds 0.54?
______________
What is the probability that lies within the interval 0.39 to 0.59?
______________
Would it be unusual if the sample proportion were as small as 34%?
______________