Question;MAT540;Week;3 Homework;Chapter 14;1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3;4, 5, or 6 hours, according to the following probability distribution. The;squad is on duty 24 hours per day, 7 days per week;Time Between;Emergency Calls (hr.);Probability;1;0.05;2;0.10;3;0.30;4;0.30;5;0.20;6;0.05;1.00;a.;Simulate the emergency calls for 3 days (note that this will require a;?running?, or cumulative, hourly clock), using the random number table.;b.;Compute the average time between calls and compare this value with the;expected value of the time between calls from the probability distribution. Why;are the results different?;2. The time between arrivals of cars at the Petroco Service Station;is defined by the following probability distribution;Time Between;Arrivals (min.);Probability;1;0.15;2;0.30;3;0.40;4;0.15;1.00;a.;Simulate the arrival of cars at the service station for 20 arrivals and;compute the average time between arrivals.;b.;Simulate the arrival of cars at the service station for 1 hour, using a;different stream of random numbers from those used in (a) and compute the;average time between arrivals.;c.;Compare the results obtained in (a) and (b).;3. The Dynaco Manufacturing Company produces a product in a process;consisting of operations of five machines. The probability distribution of the;number of machines that will break down in a week follows;Machine Breakdowns;per Week;Probability;0;0.10;1;0.10;2;0.20;3;0.25;4;0.30;5;0.05;1.00;a.;Simulate the machine breakdowns per week for 20 weeks.;b.;Compute the average number of machines that will break down per week.;5. Simulate the decision situation described in Problem 16(a) at the;end of Chapter 12 for 20 weeks, and recommend the best decision.;Reference Problem 16(a) in Chapter 12: A concessions manager at the Tech versus;A&M football game must decide whether to have the vendors sell sun visors;or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and;a 55% chance of sunshine, according to the weather forecast in College;Junction, where the game is to be held. The manager estimates that the;following profits will result from each decision, given each set of weather;conditions;Weather Conditions;Decision;Rain;Overcast;Sunshine;.30;.15;.55;Sun visors;$-500;$-200;$1,500;Umbrellas;2,000;0;-900;a. Compute the expected value;for each decision and select the best one.;6. Every time a machine breaks down at the;Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required;to fix it, according to the following probability distribution;Repair Time (hr.);Probability;1;0.30;2;0.50;3;0.20;1.00;a.;Simulate the repair time for 20 weeks and then compute the average weekly;repair time.
Paper#60811 | Written in 18-Jul-2015Price : $27