Consider the interval of random numbers presented below. The following random numbers have been generated: 99, 98, 26, 09, 49, 52, 33, 89, 21, 37. Simulate 10 hours of arrivals at this gas station. What is the average number of arrivals during this period?
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Consider the interval of random numbers presented below. The following
random numbers have been generated: 99, 98, 26, 09, 49, 52, 33, 89, 21, 37.
Simulate 10 hours of arrivals at this gas station. What is the average number of
arrivals during this period?
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- A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.17 and 0.47 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops.Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive- up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Assume the Poisson probability distribution can be used to describe the arrival process. (a) What is the mean or expected number of customers that will arrive in a six-minute period? (b) Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a six-minute period. (Round your answers to four decimal places.) X 0 1 2 3 P(x) (c) Delays are expected if more than three customers arrive during any six-minute period. What is the probability that delays will occur? (Round your answer to four decimal places.)What is the Y coordinate if we use the center of gravity method? Please keep 3 decimals in your final answer
- Two methods are used to predict how many customers will call in for help in the next four days. The first method predicts the numbers of callers to be 23, 5, 14, and 20 for the four respective days. The second method predicts 20, 13, 14, and 20 for the four respective days. The actual numbers of callers turn out to be 23, 10, 15, and 19. Which method has the smaller mean absolute error (MAE)? Multiple Choice The first method The second method Cannot be determined Both methods have the same MAE4 A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.11 and 0.50 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops. Mc Graw Hill < Prev 4 of 5 ASUSTwo methods are used to predict how many customers will call in for help in the next four days. The first method predicts the numbers of callers to be 49, 42, 46, and 50 for the four respective days. The second method predicts 48, 43, 47, and 49 for the four respective days. The actual numbers of callers turn out to be 50, 40, 45, and 48. Which method has the smaller mean absolute error (MAE)? O Both methods have the same MAE The second method. The first method O Cannot be determined
- Consider the M/M/1 queueing system with arrival rate λ > 0 and service rate μ > 0. (a) Compute the expected number of arrivals during a service time (also called service period). (b) Compute the probability that no customers arrive during a service period. You may use the trick of computing expectation/probability by conditioning, i.e., “unconditional expectation (or probability) is equal to the expectation of conditional expectation (or probability)”.The manager of a call center recorded the volume of calls received between 9 and 10 a.m. for 21 days and wants to obtain a seasonal index for each day for that hour. Day Volume Day Volume Day Volume Tues 67 Tues 60 Tues 64 Wed 75 Wed 73 Wed 76 Thurs 82 Thurs 85 Thurs 87Fri 98 Fri 99 Fri 96 Sat 90 Sat 86 Sat 88 Sun 36 Sun 40 Sun 44 Mon 55 Mon 52 Mon 50?Attendance at Orlando's newest Disneylike attraction, Lego World, has been as follows: Quarter Guests (in thousands) Quarter Guests (in thousands) Winter Year 1 63 Summer Year 2 120 Spring Year 1 99 Fall Year 2 54 Summer Year 1 149 Winter Year 3 94 Fall Year 1 75 Spring Year 3 151 Winter Year 2 64 Summer Year 3 210 Spring Year 2 83 Fall Year 3 99 Part 2 Based on the given attendance, the seasonal indices for each of the seasons are (round your responses to three decimal places): Season Index Winter enter your response here
- Attendance at Orlando's newest Disneylike attraction, Lego World, has been as follows: Guests Guests Quarter Quarter (in thousands) (in thousands) Summer Year 2 Winter Year 1 Spring Year 1 Summer Year 1 58 120 104 Fall Year 2 54 149 75 Winter Year 3 99 Spring Year 3 Summer Year 3 Fall Year 3 Fall Year 1 151 Winter Year 2 65 210 Spring Year 2 84 98 Based on the given attendance, the seasonal indices for each of the seasons are (round your responses to three decimal places): Season Index Winter Spring Summer FallAttendance at Orlando's newest Disneylike attraction, Lego World, has been as follows: Quarter Winter Year 1 Spring Year 1 Summer Year 11 Fall Year 1 Guests (in thousands) 68 99 149 75 65 84 Quarter Summer Year 2 Fall Year 2 Winter Winter Year 3 Spring Year 3 Summer Year 3 Fall Year 3 Guests (in thousands) 120 51 99 151 Winter Year 2 207 Spring Year 2 97 Based on the given attendance, the seasonal indices for each of the seasons are (round your responses to three decimal places): Season IndexKathleen McFadden's restaurant in Boston has recorded the following data for eight recent customers: a) McFadden wants you to graph the eight points (x;, y1), i = I, J 2, ... 8. She has been concerned because customers have been waiting too long for their food, and this graph is intended to help her find possible causes of the problem.b) This is an example of what type of graph?