Name: 1. (15 points) Calculations under common probability distributions. Include one or two calculation steps such that you may still get the points even if the final numbers are wrong. (a) (5 points) Suppose that we have a biased coin with the probability of heads being 0.6. What is the odds ratio for heads? (b) (5 points) Suppose that the number of cars passing by an intersection is 3 every 10 minutes. What is the probability of observing no more than 2 cars in ten minutes? (c) (5 points) Suppose that the highest daily temperature in September follows a normal distribution with mean 70 and standard deviation 5. What is the 95 quantile (i.c. 95th percentile - the value with an upper-tail probability of 0.05)? 2. (15 points) (a) (10 points) Fill in the following table with type I error and type II error. Decision Do not reject Ho Reject No Ho true Ha trueIndividuals who want to work, but have given up searching for ajob because of limited prospects, are known as o discouraged workers. 0 frictionally unemployed. O marginally attached workers. This group. consisting of individuals who would like to work but have not looked for work during the past four weeks, is included among 0 the structurally unemployed. O discouraged workers. 0 minimally attractive workers. 0 marginally attached workers. Individuals who are involuntarily working parttime are considered 0 structurally unemployed. O frictionally unemployed. O marginally employed. 0 underemployed. By excluding the groups identied in the previous questions, the U.S. Bureau of Labor Statistics calculation methods 0 overstate the true level of unemployment. O accurately reect the true level of unemployment. O understate the true level of unemployment- Question: 1 (Objective: To understand the concepts used in computer Simulation Statistics Calculations) Manually calculate the following System Statistics for Single Server Queue System running for 20 minutes. a. Avg. Time In System, TIS (Max and Min) b. Avg. Time in Queue, Q. (Max and Min) c. Utilization of the Server d. Utilization of the Queue (Time weighted Avg. Number in the queue) e. Total number of parts produced during the total simulation time (14 min) Number of parts produced / hour: Throughput. g. What is an Event Calendar? Illustrate with a small example how does it work. Part Inter Arrival Service SST TIQ DT TIS Max Arrival Time Time Service Time Depar- Time Num- TIME (LAT) (ST] Start In ture In ber (LAT) Time Queue Time System In Q 0 5 1 2 2 2 5 3 4 ry 1 5 Table 1 Graph of the System Capacity Utilization vs. Simulation Time (Show Bt & Qt) CapacityIndividuals who want to work, but have given up searching for a job because of limited prospects, are know as . This group is included among , consisting of individuals who would like to work but have not looked for work during the past four weeks. discouraged workers ; marginally attached workers marginally attached workers ; discouraged workers OOOO frictionally unemployed ; the structurally unemployed discouraged workers ; minimally attractive workers Individuals who are involuntarily working part-time are considered O frictionally unemployed O structurally unemployed marginally employed O underemployed Using the U.S. Bureau of Labor Statistics calculation methods, excluding the groups identified in the questions above the true level of unemployment. overstates OOO understates accurately reflects Pravinus 60 Give Up & View Solution () Check Answer ()Next + Exit