a. In order to be invited to the college world cup, teams must earn a score in the top 15% of all scores. What is the score our team needs to beat in order to earn an invite? b. If 10 games are studied, about how many will have a winning score under 90 points?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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7. Tomorrow, Charlotte's athletic director will announce plans to start our very first Muggle
Quidditch team, and you have been hired to do basic statistics for the fledgling team. Based on
International Quidditch Association data, you know that winning scores for official games are
normally distributed with a mean of 133.75 and a standard deviation of 50.24.
a. In order to be invited to the college world cup, teams must earn a score in the top 15%
of all scores. What is the score our team needs to beat in order to earn an invite?
b. If 10 games are studied, about how many will have a winning score under 90 points?
Transcribed Image Text:7. Tomorrow, Charlotte's athletic director will announce plans to start our very first Muggle Quidditch team, and you have been hired to do basic statistics for the fledgling team. Based on International Quidditch Association data, you know that winning scores for official games are normally distributed with a mean of 133.75 and a standard deviation of 50.24. a. In order to be invited to the college world cup, teams must earn a score in the top 15% of all scores. What is the score our team needs to beat in order to earn an invite? b. If 10 games are studied, about how many will have a winning score under 90 points?
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I'm not following the logic for part B. I understand using the inverse Norm function results in 1.0364. I don't understand why you decide to do y - μσ, and the math of "y - μσ = 1.0364y - 133.7550.24 = 1.0364y = 185. 82" doesn't seem correct. How does "1.0364y - 133.7550.24 = 1.0364y" that math work? Because it looks like μσ implies multiplication, and 1.0364y - (133.75*50.24) is not equal to 1.0364y.

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