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A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?

A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. There are two bags, each containing 50 marbles. In one of the bags, 80% of the marbles are red and 20% are black. In the other bag, 40% of the marbles are red and 60% are black. Students took random samples of 10 marbles from each bag (replacing the marbles after every sample) and made the dot plots shown next. Bag 1 Bag 2 DOOOO 0000 Ø OO 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Numbers of red marbles in random samples of 10 marbles Numbers of red marbles in random samples of 10 marbles For each of the following questions, answer the question (to the extent possible) and determine the graph-reading level of the question. Explain your reasoning. a. How many random samples were taken from Bag 1? How many random samples were taken from Bag 2? b. From which bag were more random samples that contained exactly 5 red marbles taken? c. Did any of the random samples have exactly 8 black marbles? L D-d h110
Transcribed Image Text:3. There are two bags, each containing 50 marbles. In one of the bags, 80% of the marbles are red and 20% are black. In the other bag, 40% of the marbles are red and 60% are black. Students took random samples of 10 marbles from each bag (replacing the marbles after every sample) and made the dot plots shown next. Bag 1 Bag 2 DOOOO 0000 Ø OO 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Numbers of red marbles in random samples of 10 marbles Numbers of red marbles in random samples of 10 marbles For each of the following questions, answer the question (to the extent possible) and determine the graph-reading level of the question. Explain your reasoning. a. How many random samples were taken from Bag 1? How many random samples were taken from Bag 2? b. From which bag were more random samples that contained exactly 5 red marbles taken? c. Did any of the random samples have exactly 8 black marbles? L D-d h110
possible) and determine the grapn-reading lever or the question. Explain your reasoning. a. How many random samples were taken from Bag 1? How many random samples were taken from Bag 2? b. From which bag were more random samples that contained exactly 5 red marbles taken? c. Did any of the random samples have exactly 8 black marbles? d. How many random samples from Bag 1 had exactly 8 red marbles? How many random samples from Bag 2 had exactly 8 red marbles? e. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?
Transcribed Image Text:possible) and determine the grapn-reading lever or the question. Explain your reasoning. a. How many random samples were taken from Bag 1? How many random samples were taken from Bag 2? b. From which bag were more random samples that contained exactly 5 red marbles taken? c. Did any of the random samples have exactly 8 black marbles? d. How many random samples from Bag 1 had exactly 8 red marbles? How many random samples from Bag 2 had exactly 8 red marbles? e. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?
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Note: As the student has demanded answer for only part H, the answer has been provided for same.

 

There are two bags and each contain 50 marbles. 

In one of the bag, 80% marbles are red while in other bag 40% marbles are red. Random samples of 10 marbles are taken with replacement.

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