Category: Uncategorized

Problem 1a. Use the Kaplan-Meier method to calculate the reliability. Fill in all missing values in the table below (10 points). Copy and paste the table below into your text box and fill in all the missing values in the table.    Time # at risk # of failures R(t) 182 10 1 .09 245 360 387 418 584  

Figure 3-11 ​ ​ ​ Refer to Figure 3-11. In this figure,

Figure 3-3                           Good Y ​ ​ Refer to Figure 3-3. A movement from point Z to point W would have been the result of

Figure 3-11 ​ ​ ​ Refer to Figure 3-11. At fee F1 there is a

Problem 3. Multiple Choice (40 points) 1. We define a reliability function by using

10. For a Weibull distribution with its shape parameter being 2 and characteristic life being 100, what is its 10% percentile, or L10 life?

The law of diminishing marginal utility helps to explain the direct relationship between price and quantity supplied.

Problem 1b. Assume failure times follow an exponential distribution. Estimate the failure rate value and calculate the probability of a lamp having a life longer than 400 hours. (10 points)

Figure 3-7 ​ ​ ​ Refer to Figure 3-7. If S1 is the relevant supply curve, a decrease in the price of a resource that is necessary for the production of good X causes

Problem 1c. Taking a closer look of this dataset, it seems that the lamps on Projector 2 have consistently longer lives than the lamps on the other two projectors. As a reliability engineer, what’s your suggestion for further investigation based on this suspicion? Please use the discussions in the composite material case study to suggest reliability analysis and comparison tools. (10 points)