Theodore Roosevelt built his reputation as a military hero on his participation in

Which of the following test techniques would allow the reliability engineer to do quantitative analysis of materials? 


The popcorn experiment, as presented in the reading material, does NOT demonstrate which reliability concept?

Find the first four terms of the binomial series for the function f(x) =  1/3

(05.03 MC) Determine the empirical formula of a compound containing 47.37 grams of carbon, 10.59 grams of hydrogen, and 42.04 grams of oxygen.In an experiment, the molar mass of the compound was determined to be 228.276 g/mol. What is the molecular formula of the compound?For both questions, show your work or explain how you determined the formulas by giving specific values used in calculations.

The following Weibull plot came from a popcorn experiment, where the power of microwave is set at 120%. 1, Please explain x and y axes in terms of the scales they used, and show how to find the value of characteristic life of this Weibull distribution. (10 points) 2. Choose a physical model for this accelerated life test and write down its equation. (10 points) 3. Another popcorn experiment was conducted at the power level of 110%. The Weibull plot is shown below. Use the characteristic life values from both ALTs to estimate regression coefficients of the acceleration model. (10 points)   4. The use stress level is at 100% power. Predict the characteristic life at the use stress level. (10 points) 5. Given that the shape parameter of Weibull distribution is 2.8 and it is constant under different stress levels. Under the use stress level, predict the lifetime at which probability of failure is 0.1. (10 points)

Use a Taylor series to estimate the integral’s value to within an error of magnitude less than 0.001.

In a cross-functional team environment, such as the Ford reliability improvement program, the reliability function can influence product reliability primarily by 

(05.03 MC) Determine the empirical formula of a compound containing 40.6 grams of carbon, 5.1 grams of hydrogen, and 54.2 grams of oxygen.In an experiment, the molar mass of the compound was determined to be 118.084 g/mol. What is the molecular formula of the compound?For both questions, show your work or explain how you determined the formulas by giving specific values used in calculations.

Problem 2. A reliability test of a product produced the following 10 observations: five exact failure times t1, t2, t3, t4, t5, one additional test unit failed but its failure time was not recorded, and four more test units did not fail at the end of the testing period, tc. Use the following Weibull reliability function, R(t) = e-(t/θ)^β. a. Derive the likelihood function for this dataset. Please express it as a function of times and Weibull parameters. (10 points) b. If it was later found out that the test unit that was previously recorded as a failure without exact failure time was actually misdiagnosed due to an inspection instrument error, do you need to adjust the likelihood function? Explain. You don’t need to write down the equation. (10 points) c. If it was later found out that all of these test units had been burn-in tested by the part supplier before, do you need to adjust the likelihood function? Explain. You don’t need to write down the equation. (10 points)