Adrug testing company advertises a test for steroids that is 96% effective at detecting steroid use. it has a true negative effectiveness of 91%. suppose 12% of 10,000 professional cyclists are believed to be using steroids. suppose the haplessly named lance robustcalve tests positive for steroid use. what is the probability that he's really not using steroids? (round your probability to the nearest tenth of a percent! )

Apharmaceutical packaging company (ppc) has decided to reorganize its processes into cells. the company has four different production operations, each requiring a unique piece of equipment. the names and functions of the four pieces of equipment are sort, count, place, and package. the company packages five different families of products (a, b, c, d, and e). the tables below indicate the demand (total units/day by product family), required operations, and operation cycle times for each product family. assume that any individual piece of equipment is available to operate 16 hours/day, but 2 hours (in total) are lost each day on each piece of equipment due to breaks and meetings when operators are not available to operate the equipment. how many minutes/day are available for production