Ho: Arm is used consistently \( \mathrm{Ha}_{\mathrm{a}} \) Much busi on some days ot week \[ x=\sum \frac{(0 i-E i)^{2}}{-} \] The young bank manager is still struggling wi th finding the best way to staff her branch. \( S \) he knows that she needs to have more tellers on Fridays than on other days, but she is tryi... INTRO STATS/AP STATISTICS
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The manager of a stockroom in a factory knows from his study of records that the daily demand for a certain tool has the following probability distribution: Demand 0 1 2 Probability 0.1 0.5 0.4 If x denotes the daily demand, find E(x) and V(x)
T. L.
The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours on Monday. The frequency distribution below summarizes the results. Find the mean waiting time. Round your answer to one decimal place.Waiting time (minutes) Number of customers0 - 3104 - 7138 - 111212 - 15516 - 19720 - 23124 - 272
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The Northside Bank is working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and so on. On Fridays, the bank is open from 9:00 A.M. to 7:00 P.M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. Time No. of Tellers Time No. of Tellers 9:00 a.m.-10:00 a.m. 6 2:00 p.m.-3:00 p.m. 8 10:00 a.m.-11:00 a.m. 4 3:00 p.m.-4:00 p.m. 5 11:00 a.m.-Noon 8 4:00 p.m.-5:00 p.m. 8 Noon-1:00 p.m. 9 5:00 p.m.-6:00 p.m. 6 1:00 p.m.-2:00 p.m. 8 6:00 p.m.-7:00 p.m. 7 Each full-time employee starts on the hour and works a 4-hour shift, followed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour. Considering salary and fringe benefits, full-time employees cost the bank $15 per hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). (a) Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: Let xi = number of full-time employees coming on duty at the beginning of hour i and yj = number of part-time employees coming on duty at the beginning of hour j.) If your answer is zero enter “0” and if the constant is "1" it must be entered in the box.
Aishwarya K.
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