Explanation Answers may vary; one of the possible answers is given below: Given that 20 first class passengers and 120 middle class passengers are travelling on a flight and among the 20 first class passengers there are 4 businessman from the middle east. For the usual security screening the management decides to select 2 passengers. The selected 2 passengers are the 2 businessman among the 4 businessman from the middle-east. Moreover, the managements claims of selecting the 2 passengers randomly. Simulation: A simulation is imitating the reality by using random numbers to represent the outcomes of real events Steps for simulating a component: Identify the component to be repeated. Explain how to model the components outcome. Components : A characteristic of the individuals in the population, which an investigator is interested to study, is called a component. Here, the investigator wants to check whether the airline management selected the passengers to be searched randomly or not. One way of doing this is to find the probability for the selected two passengers to be businessman. Selection of passenger to be searched is a component, but the components outcome is not the objective of the study. Simulate the component for at least 5 times. The sequence of the components has to be observed to analyze the study. Thus, selection of passenger to be searched is a component of the study to run the simulation. Here, it is given that there are 4 businessman among 20 first class passengers. Simulating a component: Generate two digit random numbers 01-20. Let 01-20 represents the passengers in travelling in first class. Let 01-04 represents each of the businessmen from middle east. Let 05-20 represents the other passengers. Since, the management selected 2 passengers to be selected; each trail must consists of 2 random digits. Generate two digits at a time. Ignore the repeated digits. Combining the components to model a trail: Simulating a trail: Each trail must consists of 2 random digits. Generate the random numbers for 5 times. Trail in which the two selected passengers belongs to middle east is denoted by a success. That is, the trail in which the two random numbers fall in between 01-04 is denoted by a success. Random data : Software procedure: Step by step procedure to obtain the random data using the MINITAB software: Choose Calc > Random data > Sample from columns. In Number of rows to sample enter 2. In From columns, enter the column Input which consists of 01 to 20 numbers. In Store sample in enter the column of 1 ...

4th Edition

ISBN: 9780321825278

Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock

Publisher: PEARSON

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Chapter R, Problem 3.42RE

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Check whether the airline management selected the passengers to be searched based on the profiling.

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Chapter R, Problem 3.41RE

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