In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a study.
a. What is the probability that the sample proportion of students living in the dormitories is between .172 and .178?
b. What is the probability that the sample proportion of students living in the dormitories is greater than .025?
a. .0035
b. .9938
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