1a) 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 hrs. Per day, 7 days per week:
Time Between Emergency Calls (hr) Probability 1 .05 2 .10 3 .30 4 .30 5 .20 6 .05 1.00 1a. Simulate the emergency calls for 3 days (note tht 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 2 .30 3 .40 4 .15 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 Breakdown per Week Probabiltiy 0 .10 1 .10 2 .20 3 .25 4 .30 5 .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 recommended the best decision (Look back at the answer you gave me fro question 16a in Ch. 12) 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 Tire (hr.) Probability 1 .30 2 .50 3 .20 1.00
Simulate the repair time for 20 weeks and then compute the average weekly repair time.
ScholarMatic: Explanation & Answer
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