Supplier on$-$time delivery performance is critical to enabling the buyer's organization to meet its customer service commitments. Therefore, monitoring supplier delivery times is also critical. Based on a great deal of historical data, a manufacturer of personal computers finds for one of its just$-$in$-$time suppliers that the delivery times are random and approximately follow the normal distribution with the mean of $51\mathrm{.}7$ minutes and the standard deviation of $9\mathrm{.}5$ minutes.

Answer the following questions rounding your final answers to $4$ decimal places. To avoid rounding errors, please do not round intermediate steps in your calculations.