A retail manager in a discount store wants to establish a policy of the number of cashiers to have on hand and also when to open a new cash register. The first step in this proces is to determine the rate at which customers arrive at the cash register. One day, the man- ager observes the following times (in minutes) between arrivals of customers at the cash registers:
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- Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.CWD Business systems maintains a successful Telecom sales department for Top up call creditin which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phonecalls to the department are answered automatically by an answering machine and asked to wait.As soon as the clerk is free, the party that has waited the longest is transferred and answered first.Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an averageof 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential.The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 perhour of customer time spent waiting for the clerk to take an order. Part B CWD is considering adding a second clerk to take calls. The store would pay that person thesame $15 per hour.Using appropriate formula for the multiple channel model, answer the following questions. a. What is the probability that no customers are…After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value at that time. If an automobile was purchased on March 1, 2022, and its values on March 1, 2023 and March 1, 2024, were $7000 and $5800 respectively, what is its expected value on March 1, 2028?
- Suppose that a life insurance company insures 900,000 fifty-year-old people in a given year. (Assume a death rate of 8 per 1000 people.) The cost of the premium is $500 per year, and the death benefit is $45,000. What is the expected profit or loss for the insurance company?A local gas station has developed a new lottery scratch card in which they want 20% of contestants to win a small prize, 5% of contestants to win a medium prize, and 1% of contestants to win a large prize. If the scratch card costs buyers $5, determine how much each prize should award if the store wishes to make a long-run average of $1 for each scratch card sold.