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Extra resources for Applied Statistics and Probability for Engineers, 6 edition
1 RANDOM EXPERIMENTS If we measure the current in a thin copper wire, we are conducting an experiment. However, day-to-day repetitions of the measurement can differ slightly because of small variations in variables that are not controlled in our experiment, including changes in ambient temperatures, slight variations in the gauge and small impurities in the chemical composition of the wire (if different locations are selected), and current source drifts. Consequently, this experiment (as well as many we conduct) is said to have a random component.
Practical Interpretation: Hospitals track visits that result in LWBS to understand resource needs and to improve patient services. 21 22 Chapter 2/Probability Hospital 1 2 3 4 Total 5292 6991 5640 4329 22,252 195 270 246 242 953 Admitted 1277 1558 666 984 4485 Not admitted 3820 5163 4728 3103 16,814 Total LWBS Diagrams are often used to portray relationships between sets, and these diagrams are also used to describe relationships between events. We can use Venn diagrams to represent a sample space and events in a sample space.
16 Process mean shift is detected. 14 12 10 FIGURE 1-12 Process mean shift is detected at observation number 57, and one adjustment (a decrease of two units) reduces the deviations from target. 50 90 Population ? 54 Sample 1 80 0 5 20 10 15 Observation number (hour) 25 FIGURE 1-13 A control chart for the chemical process concentration data. 1-3 Future population ? Sample 1 30 x1, x2, …, xn Enumerative study x1, x2, …, xn Analytic study FIGURE 1-14 Enumerative versus analytic study. Mechanistic and Empirical Models Models play an important role in the analysis of nearly all engineering problems.