Word problem

Chapter 6 Binomial Calculator 3. A factory assembly line depends on its workers to minimize their absences so that the entire production line does not shut down. At a particular factory, the assembly line requires 20 workers. The shift manager schedules 22 workers for each shift, so that production will not halt as long as at least 20 out of the 22 workers are present. This particular factory has an absenteeism rate of 6%. In each problem below, label your x, n and p, then explain how you arrived at your answer. x= # present a. With the existing conditions, what percentage of working days will the factory be shut down? X_20 n= 22 P = 0 . 94= 94 0 1 - 0 .04 = 0.94 b. In a year with 250 workdays, how many working days will the factory be shut down (on average)? c. Suppose the shift manager would like to reduce the percentage of shut-down days to below 1%. How many workers should she schedule for each shift? d. With the new scheduling system, how many working days will the factory be shut down (on average)