Explanation Given: The following 30 scores: 79 , 51 , 67 , 50 , 78 , 62 , 89 , 83 , 73 , 80 , 88 , 48 , 60 , 71 , 79 , 89 , 63 , 55 , 93 , 71 , 41 , 81 , 46 , 50 , 61 , 59 , 50 , 90 , 75 , 61 Calculation: If the number of data items is more, it becomes really difficult to show the data in the form of frequency distribution. In the frequency distribution, the left column shows only one data item and the right column shows its frequency. Because of so many data items, the data can be easily interpreted and analyzed if it is organized in the form of groups or classes. This type of representation of the data in the form of classes is called grouped frequency distribution. The given data has been shown in a tabular form with the left column showing classes of class width 10 starting with the 40-49 class till 90-99 class and the right column showing the frequency of each class

Thinking Mathematically, Books a la Carte Plus MyLab Math -- Access Card Package (7th Edition)

7th Edition

ISBN: 9780135167458

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 12, Problem 5T

To determine

To calculate: The group frequency distribution for the given data.

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Chapter 12, Problem 4T

Chapter 12, Problem 6T

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(b) An otherwise fair six-sided die has been tampered with in an attempt to cheat at a dice game. The effect is that the 1 and 6 faces have a different probability of occurring than the 2, 3, 4 and 5 faces. Let θ be the probability of obtaining a 1 on this biased die. Then the outcomes of rolling the biased die have the following probability mass function. Table 1 The p.m.f. of outcomes of rolls of a biased die Outcome 1 2 3 4 5 6 Probability θ 1 4 (1 − 2θ) 1 4 (1 − 2θ) 1 4 (1 − 2θ) 1 4 (1 − 2θ) θ (i) By consideration of the p.m.f. in Table 1, explain why it is necessary for θ to be such that 0 < θ < 1/2. [2] (ii) The value of θ is unknown. Data from which to estimate the value of θ were obtained by rolling the biased die 1000 times. The result of this experiment is shown in Table 2. Table 2 Outcomes of 1000 independent rolls of a biased die Outcome 1 2 3 4 5 6 Frequency 205 154 141 165 145 190 Show that the likelihood of θ based on these data is L(θ) = C θ395 (1 − 2θ) 605 ,…

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Chapter 12 Solutions

Thinking Mathematically, Books a la Carte Plus MyLab Math -- Access Card Package (7th Edition)

Ch. 12.1 - CHECK POINT 1 A city government wants to conduct a...Ch. 12.1 - CHECK POINT 2 Explain why the sampling technique...Ch. 12.1 - CHECK POINT 3 Construct a frequency distribution...Ch. 12.1 - CHECK POINT 4 Use the classes in Table 12.3 to...Ch. 12.1 - CHECKPOINTS 5 Construct a stem-and-leaf plot for...Ch. 12.1 - A sample obtained in such a way that every member...Ch. 12.1 - Prob. 2CVC Ch. 12.1 - Fill in each blank so that the resulting statement...Ch. 12.1 - 4. Data can be displayed using a bar graph with...Ch. 12.1 - Prob. 5CVC

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