Explanation Answers may vary; one of the possible answers is given below: It is given that, a technology store runs an hourly contest in which a customer is randomly selected at checkout to play in the contest. In this contest, the customer is asked to choose a card from five cards (an ace and five other cards). If the customer has chosen ace card in the first attempt, then he wins $100 of store credit. The customer wins $50 for choosing ace card in second attempt, $20 for choosing ace card in third attempt, $10 for choosing ace card in fourth attempt, $5 for choosing ace card in last attempt. 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 estimate the average amount of store credit distributed in the contest. Selecting one card is a component, but the components outcome is not the objective of the study. The sequence of the components has to be observed to analyze the study. Thus, selecting one card is the component of the study to run the simulation. Here, it is given that, the customer wins $100 for choosing ace card in the first attempt, $50 for choosing ace card in second attempt, $20 for choosing ace card in third attempt, $10 for choosing ace card in fourth attempt, $5 for choosing ace card in last attempt. Simulating a component: Step-1: Generate one digit random numbers 0-9. Let 0 represents an ace card. Let 1, 2, 3 and 4 represents each one of the other four cards. Ignore the digits 5-9. Repeated digit must be ignored. Here, the customer will keep on drawing the cards until the ace card is selected. Combining the components to model a trail: Let us have the simulation for 5 trails. Simulating a trail: A trail consists of generating one digit random numbers until the ace card is drawn. Generate the random numbers for 5 times. Note the amount given to the customer in each trail. 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 1 (Continue until an ace card is drawn). In From columns, enter the column input which consists of 0 to 9 numbers. In Store sample in enter the column of 1 . Click OK . Repeat the same for 5 times. By changing the store sample in column from 1 to 5. Displaying data: Step by step procedure to display data using the MINITAB software: Choose Data > Display data...

4th Edition

ISBN: 9780321825278

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

Publisher: PEARSON

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Chapter 9, Problem 34E

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Find the average amount of store credit distributed in the contest.

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Chapter 9, Problem 33E

Chapter 9, Problem 35E

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Ch. 9.2 - Prob. 1JC Ch. 9.2 - Prob. 2JC Ch. 9.2 - Prob. 3JC Ch. 9.2 - Prob. 4JC Ch. 9.2 - Prob. 5JC Ch. 9 - Prob. 1E Ch. 9 - Prob. 2E Ch. 9 - Prob. 3E Ch. 9 - Prob. 4E Ch. 9 - Prob. 5E

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