The public works division selects a random sample of 250 households and measures the volume of water consumption for each household over the course of a week. In addition to the weekly consumption, the household's service zone and the number of individuals listed as residents will be recorded. (a) Identify an individual, the population, the sample, and all variables measured in this study. Classify each variable as qualitative (Q), discrete (D), or continuous (C): individual population sample variable(s) (b) Is this investigation a designed experiment or an observational study? Justify. Identify the sampling method for each scenario. (a) A TSA officer selects the first 19 travelers coming through security for an enhanced inspection. (b) A warehouse management company randomly selects 40 of the 400 properties it manages and inspects every loading dock for any potential repairs. (c) The commanding officer of the 34th Infantry Division will randomly select 40 soldiers from each of its 20 battalions to complete a survey regarding the workplace environment. Below is a histogram for the years of service by the faculty members at State U. (a) Describe the shape of the distribution. (b) Do you expect the mean number of years to be less than, greater than, or about the same as the median? Explain