Arithmetic Mean and Reliability

Problem 1: Jonathon Barrs is a manager for Easy Manufacturing, LLC. He wishes to evaluate three possible investments. These investments are for the purchase of new machine tools from Germany, Japan, and a local US manufacturer. The firm earns 10% on its investments and they have a risk index of 5%. The chart below lays out the expected return and expected risks of the three projects.

σA = 0.3 × (0.07)2 + 0.4 × (0.06)2 + 0.3 × (0.08)2 − (0.021)2 = 0.004389,

Machine 1 had a reliability of 84%, Machine 2’s reliability was 91%, and Machine 3 had a reliability of 99%. The first possible setup, and ultimately the recommended setup, was to backup Machine 1. This led to an overall reliability of 84%. Backing up Machine 2 only gave a reliability of 82%. Backing up Machine 3 only gave a reliability of 76%. Therefore the recommendation is to backup Machine 1 and increase the reliability to 88%.

Reliability refers to system live time, that is, system is running efficiently most of the time. Availability is the probability that the system is continuously available (usable or accessible) during a time interval.

Price of the CNC machine is $80,000. The additional assumption we need to add to assumption already given is that:

4. The calculation should be executed only after all the valid input values are provided.

The reliability of a system can be improved through the introduction of redundancy in the system. Some of the examples of redundancy in the operation are as below:

A calculation of the average cost of each data loss incident must take into account both possibilities. The ability to recover data depends on the cause of the data loss episode (Smith, 2003).

1. Consider 5 processes that need to agree on their joint state. To protect against Byzantine failures, the processes adopted a protocol as described in the slides, in particular, each process broadcasts its own state to all others, assembles the state received from others, and then broadcasts its view of the full state to all others. Suppose that, after this, process 1 receives the information provided below. Identify the process(es) that have Byzantine failure, if any, based on this data. Briefly justify your answer.

3) Given the value calculated by the senior technician calculate your error and comment on this error in relation to the apparatus error of the method.

ThThe mean weight of loads of coal placed in train cars by a loading machine is 43.0 tons with a standard deviation of 8.0 tons. Assuming that the weight of loads placed in the train cars by this loader are normally distributed, if a random sample of 9 loads is chosen for a weight check, find the probability

a. Investigate the original calculation of Setup Cost (denoted by “S” in the case), is there

Assume that under no unusual circumstances (no storm), Jaeger sells 1,000 cases of Riesling. Consider different cases: 1. Jaeger harvests grapes in anticipations of storm. Then the total revenue will be equal to 12×1000×$2.85 = $34200. 2. Jaeger doesn’t harvest and there is no storm with 50% chance. 2.1. With 40% chance, sugar concentration is 25%, then the total revenue is 12 × 1000 × $3.50 = $42000 2.2. With 40% chance, sugar concentration is 20%, then the total revenue is 12 × 1000 × $3.00 = $36000 2.3. With 20% chance, sugar concentration is below 20%, then the total revenue is 12 × 1000 × $2.50 = $30000 3. There is storm with 50% chance 3.1. Storm causes botrytis

The test provides us with expected value of information which helps us to evaluate our decision with cases where the information is not clear. Furthermore, the uncertainty regarding the decision, despite coming at the cost of $50,000, is resolved before a particular choice of selecting the standard or robust choice is made. However, once the decision is made, the market will take its course of action. It is simply the fact that ISSI has a fair idea of the possible outcome. If ISSI does not carry out the test, it will only have the option to either install the standard system or the robust system. The dilemma in this decision is that either ISSI will install the standard system and earn a profit of $300,000 which has a probability of 90% or a loss of $200,000 if the system does not work which has a probability of 10%. On the other hand if the robust system is installed ISSI will

Now a day’s Information Technology plays an important role in every field whether it is in big Multinational companies, or in Hospital or in school, colleges, bank etc. It is having a wide range. Every field is now a system oriented where each and every person should have knowledge of basic computer. Information technologies also important to beat the competition in various industries. In our survey report we are going to survey and test the reliability of hardware, networks and software in information technology field. Information technology is a combination of Hardware, software and Networks. It is an combining of technology, users and