Compute the reliability of a system with 10 components needing at least 6 in full operation with the MTTF being 3000 after 2010 hours of operation
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- Solve Exercise 14 if a 25 solution of the same mixture is added instead of pure alcohol.compute the reliability of a system with 8 components need at least 5 in full operation with the MTTF being 4800, after 2580 hours of operationThere are 16 components in a non-redundant system. The average reliability of each component is 0.99. In order to achieve at least this system reliability by using a redundant system with 4 identical new components, what should be the least reliability of each new component?
- Newyork University Building 8 has a 15-story structure. Mr. Raju works on the 11th floor of this building. Except for stopping on a floor where the button has been pressed, the single elevator travels endlessly between floors 1,2,3,..., 14,15,14,...,3,2,1. Assume that the amount of time required to load and unload passengers is minimal compared to the actual trip time.Mr. Raju always wonders when he is about to leave his office at 6 PM, most of the time, the lift goes up before stopping at his floor. One day, Raju encounters you in the lift and shared his thoughts with you. Since you are taking Discrete Mathematics course, he expects you to solve the mystery for him. Provide a valid explanation in terms of probability to Mr. Raju.A constant number of files are processed daily at Mehenti Carobar (MC) Pvt. Ltd. Three clerks can do the processing. To process MC’s daily files, the Senior clerk takes 2 hours more than the Head clerk; while the Junior clerk takes six more hours than the Senior clerk to process the same files. When working together, the Senior clerk and the Junior clerk can process a day’s files in just four hours. Today, Junior clerk has reported sick. How much time will it take the Head clerk and the Senior clerk, working together, to process MC’s daily files?compute using the 5-step solution
- Suppose a theme park roller coaster has a train with six carriages. Each carriage takes eight customers. Trains arrive to the loading point one every 30 seconds. However, each hour, on the hour, the roller coaster is shut for 3 minutes for a systems’ check. What is the capacity of the roller coaster? Suppose that customers arrive to the ride at a rate of 90 customers per minute and all customers wait for service. What is the roller coaster’s average utilization? Average utilization: ________How many units of product 1 should be produced to achieve the optimum solution? How many units of product 2 should be produced to achieve the optimum solution?Due to a stocking error 50 carp are added to a lake. The carp are prolific breeders with a population growth rate coefficient of 0.5 per month. Lake managers catch and remove K carp per month. What is the minimum number of carp that must be captured and removed to ensure they are eventually eradicated?