Suppose in total 26,500 students are studying at North South University and 14500 of them are female. A random sample of 1540 students is selected from this university, and 990 of them are male. a) Find the proportion of female students in the population and in the sample. b) Find the mean and standard deviation of the sample proportion of female students. c) Find the probability that the proportion of female students is within 0.02 of the population proportion.

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