The time for an operator to complete a task is normally distributed with a mean of 9.5 minutes and a standard deviation of 0.6 minutes. the production order for the day requires this task be completed 47 times. a) determine the probability distribution for the total time to complete all 47 tasks. give the name of the distribution and its parameter(s). b) the production manager has promised this job will be complete at the end of the day. what is the probability the operator does not complete all 47 tasks by the end of the day? assume a work day is 7.5 hours accounting for breaks. c) the operations manager disagrees with the production manager. she believes the time to complete the task is better modeled with the 2-parameter weibull distribution with  = 111.5 and  = 449.2 mins. now what is the probability the operator does not complete all 47 tasks by the end of the day?