The manager of fitness center, Dana is constantly attempting new initiatives to keep clients fit. Current studies illustrate that using several different regimens for short periods of time is more efficient than the extended period of time on one type of equipment. Dana has taken some of existing cardio equipment and arranged them in the line as follows: stationary bike, treadmill, stair stepper. Clients would choose this part of gym for cardio "circuit training", spending 15 minutes on every piece of equipment for the total cardio workout of 45 minutes. If reliability of bike is 96%, treadmill is 95%, and stair stepper is 92%, i) determine probability that new client can complete his or her workout uninterrupted by faulty equipment? ii) Also dana has added another cardio "line: to one discussed above with same kind of equipment. This equipment, though is older with reliabilities of 80% each. If only one client were using cardio circuit training section of gym, second line could be used as the backup for faulty equipment. Find revised probability of completing the workout uninterrupted?