Facebook: Eighty percent of the students at a particular large university have logged on to Facebook at least once in the past week. A sample of 95 students is asked about their Internet habits.
a. What is the probability that less than 75% of the sampled students have logged on to Facebook within the last week?
b. What is the probability that more than 78% of the sampled students have logged on to Facebook within the last week?
c. What is the probability that the proportion of the sampled students who have logged on to Facebook within the last week is between 0.82 and 0.85?