suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survery, and randomly select 1000 students who are...

suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survery, and randomly select 1000 students who are currently enrolled at CSU campuses.
Let P represent the proportion of students in the sample who are female.

a. what is the expected value of P

b. what is the standard deviation of the random variable P

c. find the probability that less than 58.5% of the students in the sample are female. Use the distribution of P