This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A die is a cube with dots on each face. The faces have 1, 2, 3, 4, 5, or 6 dots. The table below is a computer simulation (from the software package Minitab) of the results of rolling a fair die 20 times. DATA DISPLAY ROW C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 1 3 2 4 5 4 5 3 5 3 4 2 5 2 2 2 5 3 2 3 1 4 (a) Assume that each number in the table corresponds to the number of dots on the upward face of the die. Is it appropriate that the same number appears more than once? Why?What is the outcome of the sixth roll?(b) If we simulate more rolls of the die, do you expect to get the same sequence of outcomes? Why or why not? Step 1 (a) Assume that each number in the table corresponds to the number of dots on the upward face of the die. Is it appropriate that the same number appears more than once? Why? What is the outcome of the sixth roll? Recall that a simulation is a numerical representation of a real-world phenomenon.The real-world phenomenon here is the act of rolling a fair die with six faces (with 1, 2, 3, 4, 5, and 6 dots) a total of 20 times. Here the software package Minitab has been used to simulate 20 rolls of this six-faced die. We are told to assume that each number in the table corresponds to the number of dots on the upward face of the die after it is rolled.Since the die is rolled 20 times, the simulation must provide 20 20 outcomes in the displayed table. Each of these outcomes will be a number from 1 to 6 6 . Step 2 This is an example of sampling with replacement, because if a number is rolled once, it can can be rolled again in a later roll. Therefore, it is is appropriate that the same number appears more than once. Step 3 The data are given sequentially, so the outcome of the sixth roll is located in Row _______? (hint 1 0r 2 ), Column _____________? (hint C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 )of the table. DATA DISPLAY ROW C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 1 3 2 4 5 4 5 3 5 3 4 2 5 2 2 2 5 3 2 3 1 4 The outcome of the sixth roll is ______?

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A die is a cube with dots on each face. The faces have 1, 2, 3, 4, 5, or 6 dots. The table below is a computer simulation (from the software package Minitab) of the results of rolling a fair die 20 times. DATA DISPLAY ROW C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 1 3 2 4 5 4 5 3 5 3 4 2 5 2 2 2 5 3 2 3 1 4 (a) Assume that each number in the table corresponds to the number of dots on the upward face of the die. Is it appropriate that the same number appears more than once? Why?What is the outcome of the sixth roll?(b) If we simulate more rolls of the die, do you expect to get the same sequence of outcomes? Why or why not? Step 1 (a) Assume that each number in the table corresponds to the number of dots on the upward face of the die. Is it appropriate that the same number appears more than once? Why? What is the outcome of the sixth roll? Recall that a simulation is a numerical representation of a real-world phenomenon.The real-world phenomenon here is the act of rolling a fair die with six faces (with 1, 2, 3, 4, 5, and 6 dots) a total of 20 times. Here the software package Minitab has been used to simulate 20 rolls of this six-faced die. We are told to assume that each number in the table corresponds to the number of dots on the upward face of the die after it is rolled.Since the die is rolled 20 times, the simulation must provide 20 20 outcomes in the displayed table. Each of these outcomes will be a number from 1 to 6 6 . Step 2 This is an example of sampling with replacement, because if a number is rolled once, it can can be rolled again in a later roll. Therefore, it is is appropriate that the same number appears more than once. Step 3 The data are given sequentially, so the outcome of the sixth roll is located in Row _? (hint 1 0r 2 ), Column _? (hint C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 )of the table. DATA DISPLAY ROW C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 1 3 2 4 5 4 5 3 5 3 4 2 5 2 2 2 5 3 2 3 1 4 The outcome of the sixth roll is ?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 36EQ

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DATA DISPLAY
ROW	C1	C2	C3	C4	C5	C6	C7	C8	C9	C10
1	3	2	4	5	4	5	3	5	3	4
2	5	2	2	2	5	3	2	3	1	4

(a) Assume that each number in the table corresponds to the number of dots on the upward face of the die. Is it appropriate that the same number appears more than once? Why? What is the outcome of the sixth roll?

Recall that a simulation is a numerical representation of a real-world phenomenon.

The real-world phenomenon here is the act of rolling a fair die with six faces (with 1, 2, 3, 4, 5, and 6 dots) a total of 20 times. Here the software package Minitab has been used to simulate 20 rolls of this six-faced die. We are told to assume that each number in the table corresponds to the number of dots on the upward face of the die after it is rolled.

Since the die is rolled 20 times, the simulation must provide 20

outcomes in the displayed table. Each of these outcomes will be a number from 1 to 6

Step 2

This is an example of sampling with replacement, because if a number is rolled once, it can

can

be rolled again in a later roll. Therefore, it is

appropriate that the same number appears more than once.

Step 3

The data are given sequentially, so the outcome of the sixth roll is located in Row _______? (hint 1 0r 2 ), Column _____________? (hint C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 )of the table.

ROW	C1	C2	C3	C4	C5	C6	C7	C8	C9	C10
DATA DISPLAY
1	3	2	4	5	4	5	3	5	3	4
2	5	2	2	2	5	3	2	3	1	4

The outcome of the sixth roll is ______?

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