at a small university of 10,000 students it is believed 60% own a laptop. to determine weather or not proportion is accurate, you take a random sampling of 50 students

a. Describe the sampling distribution of the proportion of students who own a laptop. draw a sketch and find the mean and standard deviation of the sampling distributions Use proper notations.
b. How do you know the sampling distribution will be approximately normal
c. how do you know we can sample without replacement
d. what is the probability that at least 31 students ( in the sample of 50) own a laptop?
e.would you be surprised to obtain a sample in which 37 students owned a laptop?