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Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article “Methodology for Probabilistic Life Prediction of Multiple-Anomaly Materials” (Amer. Inst. of Aeronautics and Astronautics J., 2006: 787–793) proposes a Poisson distribution for X. Suppose that the mean number of anomalies of a gas-turbine disk is 4. a. What is the probability that at most 6 anomalies are discovered on a single disk? b. What is the probability that between 3 and 9 anomalies are discovered on a single disk? c. What is the probability that the number of anomalies exceeds the mean number by no more than 2 deviations? d. If 2 disks are randomly selected, what is the probability that each disk would have at most one anomaly?

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.

Name this room.

What word best describes this artwork?

When you go to find a house on the map of Pompeii using the string of numbers that are assigned to a house, what does the first number (written in Roman numerals) represent? For example, if you went to find the House of the Vettii (VI.15.1), to what does “VI” refer?

True or False: Statues in Roman gardens sometimes incorporated statues that depicted violent acts and humorous situations.

What did fulleries use to help break down dirt and grease when cleaning clothing?

Identify the type of shop based on the architecture shown in the picture.

The citizenship status of a child depended on the mother; as long as the mother was not a slave, the child was freeborn.

Prostitution was legal according to Roman law.