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.