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- The amount of heat dissipated by a convective heat exchanger is governed by the equation Q= (AT)(A)/C where AT = temperature difference between the outside air and heat exchanger, A = cross sectional area of the heat exchanger, and C = reciprocal of convective heat transfer coefficient, The inputs are normally distributed with the following characteristics. Lower Upper Standard Variable Constraint Constraint Deviation AT 10 50 0.02 A 5000 20 000 0.6 0.001 0.001 What are the nominal values for the inputs which would result in the least variation of output and also achieve a heat dissipation value of 100 000. For the answer, list the value of A.3) Suppose that in the Bay of Fundy, the mean high tide at a particular harbor is 5.4 m above mean sea level with a coefficient of variation of 20% and assume that this is normally distributed. For simplicity, assume that there are two high tides per day and that a year is made up of twelve 30-day months. a) Determine the asymptotic distribution of the monthly maximum tide height at the harbor (ie. specify the form of the distribution and its parameters). b) Using the results of part (a), derive the corresponding distribution for the 50-year maximum tide height and determine the 50-year most probable maximum tide height.15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 10.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>10.0 Ha: μ≤10.0 B. H0: μ≠10.0 Ha: μ=10.0 C. H0: μ<10.0 Ha: μ≥10.0 D. H0: μ≤10.0 Ha: μ>10.0 E. H0: μ≥10.0 Ha: μ<10.0
- If the Cumulative Gain at a depth of 15% for the Neural Network model is converted to number of primary/positive event cases, what will be the number of cases? Show your calculation.8. 12 8. 10 15 19 12 16 10 19 1 17 Sorted Data Minimum Quartile 1 Median Quartile 3 Maximum Range4. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85.B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study.C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment.D) The probability of surviving 1 year after being diagnosed with a slow-progressing form of…
- 39. The cumulative frequency table below shows the length of time that 30 students spent text messaging on a weekend. Minutes Used 31-40 31-50 31-60 31-70 31-80 1) 31-40 2) 41-50 3) 51-60 4) 61-70 Cumulative Frequency 2 5 10 19 30 Which 10-minute interval contains the first quartile? deled as a linear equation? esses by 10% 's s and 84) mumixem a esd) 3) Two lib liten pool eve The (E (A) day. OLSE dy desperatA study-aid desk staffed by a graduate student has been established to answer students' questions and help in working problems in your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of five per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS. a. Calculate the percentage utilization of the graduate student. (Round your answer to 1 decimal place.) b. Calculate the average number of students in the system, including the graduate student service desk. (Round your answer to 1 decimal place.) c. Calculate the average time in the system. (Round your answer to 1 decimal place.) d. Calculate the probability of four or more students being in line or being served. (Round your intermediate calculations to 3 decimal places and final answer to…What is the ratio of the total jobs at risk in Transportation and Storage to those at riks in Retail? A) 4.68:7.79 B) 7.79:4.68 C) 52:41 D) 9:19 E) 30:27
- 23. Find the cumulant generating function of gamma distribution and obtain various cumulants.Explain this in your own words.6.13 Use Pareto analysis to investigate the following data collected on a printed-circuit-board assembly line: DEFECT NUMBER OF DEFECT OCCURRENCES Components not adhering 143 Excess adhesive Misplaced transistors Defective board dimension 71 601 146 Mounting holes improperly positioned 12 Circuitry problems on final test 90 Wrong component 212 a. Prepare a graph of the data. b. What conclusions do you reach?