Example 5.1.7 A car-hire firm has two cars, which are hired out everyday. The number of demands for a car on each day is distributed as a Poisson distribution with mean 1.5. Calculate the proportion of days on which neither car is used and the proportion of days on which a demand cannot be met due to lack of cars [el = 0.2231]. -1.5 %3D
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![Example 5.1.7 A car-hire firm has two cars, which are hired out everyday.
The number of demands for a car on each day is distributed as a Poisson
distribution with mean 1.5. Calculate the proportion of days on which
neither car is used and the proportion of days on which a demand cannot
be met due to lack of cars [e15 = 0.2231].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1672c16-bb57-4284-9626-7277ae166ff3%2Fef32ab39-c2d6-4b46-99f9-bcb1abdd1011%2Flvbskxj_processed.jpeg&w=3840&q=75)
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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.ch 11. 4 Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Team members rotate from time to time. Every 4 months (three times a year) each department head rates the performance of each project team (using a 0 to 100 scale, where 100 is the best rating). Are the main effects significant? Is there an interaction?
- Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq L Wq W PwExercise 1.14 (Static) THE BANK CUSTOMER WAITING TIME CASE A bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. Typical waiting times during peak business hours under the current system are roughly 9 to 10 minutes. The bank manager hopes that the new system will lower typical waiting times to less than 6 minutes and wishes to evaluate the new system. When the new system is operating consistently over time, the bank manager decides to select a sample of 100 customers that need teller service during peak business hours. Specifically, for each of 100 peak business hours, the first customer that starts waiting for teller service at or after a randomly selected time during the hour will be chosen. Consider the peak business hours from 2:00 p.m. to 2:59 p.m., from 3:00 p.m. to 3:59 p.m., from 4:00 p.m. to 4:59 p.m., and from 5:00 p.m. to 5:59 p.m. on a particular day. Also, assume that a computer software…An auctioneer of antique Iranian rugs kept records of his weekly auctions in order to determine the relationships among price, age of carpet or rug, number of people attending the auction, and the number of times the winning bidder had previously attended his auctions. He felt that, with this information, he could plan his auctions better, serve his steady customers better, and make a higher overall profit for himself. The results shown in the accompanying table were obtained.
- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.
- A positive value of the correlation coefficient "r" means_________ Group of answer choices that when x increases, y tends to increase and when x decreases, y tends to decrease that when x increases, y tends to increase and when x increases, y tends to decrease that when x increases, y tends to decrease and when x decreases, y tends to increaseInterstate 81 through southwest Virginia is heavily traveled by long-distance truckers. To cut down on accidents, The Virginia State Patrol carries out random inspections of a trucks weight and the condition of its brakes. On Fridays, trucks approach the inspection station at a rate of one every 45 seconds following a Poisson process. The time required to check a truck’s weight and brakes follows an exponential distribution with an average inspection time of 5 minutes. The state troopers only pull over trucks when at least one of their three portable inspection units is available. What is the probability that all three inspection units will be idle at the same time? What proportion of trucks traveling this section of Interstate 81 will be inspected? On average, how many trucks will be pulled over for inspection each hour?3. (Inspired by 4.10 in Bodine et al.) The basal metabolic rate (kcal/day) of large anteaters is believed to be subject to a power law relationship with its weight (kg). A study was performed measuring several anteaters and reported the following data: Weight (kg) 6.0 28.5 16.0 19.0 23.5 11.0 9.0 25.5 22.0 BMR (kcal/day) 80.1 247.0 162.3 172.4 215.1 111.9 104.6 224.6 208.3
