I was just wondering this is one of my questions in my math books and i needed help (Its really long i did all the work i just wanna double check

Arandom sample of size n 64 is taken from a population with population proportion p 0.38 describe the sampling distribution of p. draw a graph of this probability distribution with its a. mean and standard deviation. b. what is the probability that the sample proportion is greater than 0.5? what is the probability that the sample proportion is less than 0.3? d. what is the probability that the sample proportion is between 0.35 and 0.45?