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Joe likes to go to an old arcade and play 10 games of Skeeball every day. On average, he wins a prize on 56% of the games he plays. Today, however, he won only 3 of the 10 games he played. This made Joe think that there must be something wrong with how he is throwing the ball today. However, a friend tells him, "You might be throwing the same way you usually do. People will sometimes have a group of bad games just because of random variation, not because of psychology, or because they are doing anything differently, or any other reason. For someone with your statistics, such random bad days wouldn't even be very rare." Let's see what Joe's friend means. Suppose that Joe's skill level really hasn't changed, so he still has a 56% chance of winning each game he plays, like before. If he plays 10 games a day, on what percentage of days will he win 3 games or fewer? Assume that each game is independent of the others. Fill in the blank: Joe would win 3 games or fewer on % of the days that he plays. (Round to one decimal place as needed.)

Joe likes to go to an old arcade and play 10 games of Skeeball every day. On average, he wins a prize on 56% of the games he plays. Today, however, he won only 3 of the 10 games he played. This made Joe think that there must be something wrong with how he is throwing the ball today. However, a friend tells him, "You might be throwing the same way you usually do. People will sometimes have a group of bad games just because of random variation, not because of psychology, or because they are doing anything differently, or any other reason. For someone with your statistics, such random bad days wouldn't even be very rare." Let's see what Joe's friend means. Suppose that Joe's skill level really hasn't changed, so he still has a 56% chance of winning each game he plays, like before. If he plays 10 games a day, on what percentage of days will he win 3 games or fewer? Assume that each game is independent of the others. Fill in the blank: Joe would win 3 games or fewer on % of the days that he plays. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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Joe likes to go to an old arcade and play 10 games of Skeeball every day. On average, he wins a prize on 56% of the games he plays. Today, however, he won only 3 of the 10 games he played. This made Joe think that there must be something wrong with how he is throwing the ball today. However, a friend tells him, "You might be throwing the same way you usually do. People will sometimes have a group of bad games just because of random variation, not because of psychology, or because they are doing anything differently, or any other reason. For someone with your statistics, such random bad days wouldn't even be very rare." Let's see what Joe's friend means. Suppose that Joe's skill level really hasn't changed, so he still has a 56% chance of winning each game he plays, like before. If he plays 10 games a day, on what percentage of days will he win 3 games or fewer? Assume that each game is independent of the others. Fill in the blank: Joe would win 3 games or fewer on % of the days that he plays. (Round to one decimal place as needed.)
Transcribed Image Text:Joe likes to go to an old arcade and play 10 games of Skeeball every day. On average, he wins a prize on 56% of the games he plays. Today, however, he won only 3 of the 10 games he played. This made Joe think that there must be something wrong with how he is throwing the ball today. However, a friend tells him, "You might be throwing the same way you usually do. People will sometimes have a group of bad games just because of random variation, not because of psychology, or because they are doing anything differently, or any other reason. For someone with your statistics, such random bad days wouldn't even be very rare." Let's see what Joe's friend means. Suppose that Joe's skill level really hasn't changed, so he still has a 56% chance of winning each game he plays, like before. If he plays 10 games a day, on what percentage of days will he win 3 games or fewer? Assume that each game is independent of the others. Fill in the blank: Joe would win 3 games or fewer on % of the days that he plays. (Round to one decimal place as needed.)
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