The article “Second Moment Reliability Evaluation vs. Monte…

The article “Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Strength” (Quality and Reliability Engr. Intl., 2012: 887–896) considered the use of a uniform distribution with A 5.20 and B 54.25 for the diameter X of a certain type of weld (mm). a. What is the probability that diameter exceeds 23 mm? b. What is the probability that diameter is within 1 deviation of the mean diameter? c. Prove using the manual definition of expected value that the variance of the uniform distribution is  σ2=112b-a2{“version”:”1.1″,”math”:”σ2=112b-a2″}you do not need to write a sentence for this problem.

Assume that the weights of individuals are independent and n…

Assume that the weights of individuals are independent and normally distributed with a mean of 162 pounds and a standard deviation of 31 pounds. Suppose that 25 people squeeze into an elevator that is designed to hold 4350 pounds.a. What is the expected weight of all occupants in the elevator?  What is the standard deviation? b. What is the probability that the load (total weight) exceeds the design limit?  You may assume the total weight of the occupants follows a normal distribution. c. What design limit is exceeded by 25 occupants with probability 0.0001?  You may assume the total weight of the occupants follows a normal distribution.

During excavations at Pompeii, you uncover this object that…

During excavations at Pompeii, you uncover this object that appears to have once hung as a wind chime outside of a shop owner’s door. Knowing what you do now about ancient Pompeiian culture and beliefs, how would you interpret this artwork? (choose all that apply- base this off of what you learned in this class.)