A theater owner has found that 5% of patrons do not show up for the performance that they purchased tickets for. If the theater has 100 seats, find the probability that 6 or more patrons will not show up for the sold-out performance. Use the normal approximation and express your answer as a decimal. Please round to the nearest thousandth.

4. According to recent surveys, 60% of households have personal computers. If a random sample of 180 households is selected, what is the probability that more than 60, but fewer than 100, have a personal computer? Use the normal approximation and express your answer as a decimal. Please round to the nearest thousandth.5.It was reported that 67% of college students in 2008 graduated with student loan debt. A random sample of 85 2008 graduates is drawn.

Find the probability that between 65% and 80% of the people in the sample were in debt. Please round to the nearest thousandth.

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