Generate 15 random demands when demand for a particular food item is exponentially distributed with mean 60. Compute the average value of these 15 demands
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Generate 15 random demands when demand for a particular food item is exponentially distributed with mean 60. Compute the average value of these 15 demands
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- A. Calculate the expected cost of hsinf each antibiotic B. To minimize the total expected cost, which antibiotic should be choseVehicles arrive at a car detailing service at a rate of 10 per minute according to a Poissondistribution. For simplicity, assume that there is only one lane and one worker who can serve atan average rate of 12 vehicles per minute. Service times are exponentially distributed. Part A: What is the average length of the queue? Part B: What is the average time a vehicle must spend to get through the system? Part C: What is the utilization rate of the worker? Part D: What is the probability that when you arrive at the shop, there will be three ormore vehicles ahead of you?The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): Table: Economic Dynamism ($) of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions (iv) Determine t score corresponding to desired confidence level Enter value in decimal form rounded to nearest hundredth. Examples of correctly entered answers: 2.01 0.37 0.60 0.00 (v) Determine error bound of the mean: Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers: 0.0000 0.0003 3.0060 2.0700…
- 5. A pet food company randomly chooses two groups of 20 puppies for a study. One group eats a new brand of dog food and the other group eats an off-brand dog food for a period of 4 weeks. Researchers record muscular and skeletal growth rates in both groups. What type of study is being described?Employee’s human capital is measured in terms of his/her age, education, tenure, and rank. Number of years an employee worked in the same organization measures the amount of firm-specific human capital that employee possesses. Data of 413 employees’ tenure was analyzed to predict interim leadership role importance in a study reported in Journal of Advanced Management Research (Vol. 9, 2012). The following table shows the data of these employees tenure in the organization: Tenure (in years) 0-1 1-6 6-11 11-20 20-21 No. of employees 48 109 58 75 123 Calculate mean tenure of these 413 employees.One tree in the study had a weight that exceeded its expected weight (according to the best fit curve) by more than that of any other tree. By how many tons did the trees actual weight exceed the expected weight for its height?
- Confirm that the total population in this model remains constant.The Baytown Post Office has 4 stations for service. Customers line up in single file for service on an FIFO basis. The mean arrival rate is 32 per hour, Poison distributed, and the mean service time per server is 6 minutes, exponentially distributed. Compute the operating characteristics for this operation. Does the operation appear to be satisfactory in terms of: (a) Postal workers' (servers') idle time; (Round answer to 3 decimal places, e.g. 2.750.) (b) customer waiting time and the number waiting for service; (c) the percentage of the time a customer can walk in and get served without waiting at all?The table below represents the number of portable household generators sold by 20 Gauteng-based enterprises in the fourth quarter of 2022. 35 50 66 45 25 79 31 42 19 41 5 75 62 48 69 56 83 45 39 98 Given that the average selling price of a portable household generator was R15, 000 during the fourth quarter of 2022, what is the expected total revenue generated from the sale of the portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter? Using the raw data, determine the standard deviation and coefficient of variation of the sample data. Given that the average selling price of a portable household generator was R15, 000 during the fourth quarter of 2022, what is the expected total revenue generated from the sale of the portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter? 2. To extract…
- The feeding behavior of black bream (a type of fish) spawned in aquariums was studied in Brain, Behavior and Evolution (Apr. 2000). Zoologists recorded the number of aggressive strikes of two black bream feeding at the bottom of the aquarium in the 10 -minute period following the addition of food. The number of strikes and age of the fish (in days) were recorded approximately each week for nine weeks, as shown in the table below. ITT Week Number of Strikes Age of Fish (days) 1 85 120 2 63 136 3 34 150 4 39 155 58 162 6 35 169 7 57 178 8 12 184 15 190 a. Construct a scatterplot of the data, with number of strikes on the y -axis and age of the fish on the x -axis. b. Examine the scatterplot of part a. Do you detect a trend?Suppose there are three fare classes in an airline fares p1 = $300, p2 = $200, and p3 = $100. You want to utilize the EMSR-b heuristic to calculate the protection level for classes 1 and 2 together. The demand distribution for class 1 is Normal with mean 50 and standard deviation 5. The demand distribution for class 2 is Normal with mean 75 and standard deviation 12. What is the price for the virtual class 1-2 under EMSR-b?Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?
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