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The table below gives data on students in a certain school who took the SAT. % taking SAT % who scored over 1000 Seniors Juniors Sophomores Freshmen 41% 30% 12% 17% 77% 70% 59% 49% The first column of numbers shows what percentage of the total pool of students came from each class. For example, 41% of those taking the SAT were seniors. (Notice that the numbers in this column add up to 100%.) The right column of numbers indicates what percentage of each group scored over 1000. For example, 77% of the Seniors scored over 1000. Use this data to construct a tree diagram similar to the one shown below. Your numbers will differ from those shown. In the tree, H represents those scoring "high" (over 1000) and L represents those scoring "low" (under 1000). 4852 34 42 So Use your tree to answer the following questions. (a) If you learn that a student (whom you know nothing else about) made over 1000 on the SAT, what then (based on that information) is the conditional probability the student is a senior? (b) If you learn that a student (whom you know nothing else about) made under 1000 on the SAT, what then (based on that information) is the conditional probability the student is a freshman?

The table below gives data on students in a certain school who took the SAT. % taking SAT % who scored over 1000 Seniors Juniors Sophomores Freshmen 41% 30% 12% 17% 77% 70% 59% 49% The first column of numbers shows what percentage of the total pool of students came from each class. For example, 41% of those taking the SAT were seniors. (Notice that the numbers in this column add up to 100%.) The right column of numbers indicates what percentage of each group scored over 1000. For example, 77% of the Seniors scored over 1000. Use this data to construct a tree diagram similar to the one shown below. Your numbers will differ from those shown. In the tree, H represents those scoring "high" (over 1000) and L represents those scoring "low" (under 1000). 4852 34 42 So Use your tree to answer the following questions. (a) If you learn that a student (whom you know nothing else about) made over 1000 on the SAT, what then (based on that information) is the conditional probability the student is a senior? (b) If you learn that a student (whom you know nothing else about) made under 1000 on the SAT, what then (based on that information) is the conditional probability the student is a freshman?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 29EQ
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The table below gives data on students in a certain school who took the SAT. % taking SAT % who scored over 1000 Seniors Juniors Sophomores Freshmen 41% 77% 30% 70% 12% 59% 17% 49% The first column of numbers shows what percentage of the total pool of students came from each class. For example, 41% of those taking the SAT were seniors. (Notice that the numbers in this column add up to 100%.) The right column of numbers indicates what percentage of each group scored over 1000. For example, 77% of the Seniors scored over 1000. Use this data to construct a tree diagram similar to the one shown below. Your numbers will differ from those shown. In the tree, H represents those scoring "high" (over 1000) and L represents those scoring "low" (under 1000). 52 .58 42 So .6634 .78.22 Sr 48 .14 .08 Use your tree to answer the following questions. (a) If you learn that a student (whom you know nothing else about) made over 1000 on the SAT, what then (based on that information) is the conditional probability the student is a senior? (b) If you learn that a student (whom you know nothing else about) made under 1000 on the SAT, what then (based on that information) is the conditional probability the student is a freshman?
Transcribed Image Text:The table below gives data on students in a certain school who took the SAT. % taking SAT % who scored over 1000 Seniors Juniors Sophomores Freshmen 41% 77% 30% 70% 12% 59% 17% 49% The first column of numbers shows what percentage of the total pool of students came from each class. For example, 41% of those taking the SAT were seniors. (Notice that the numbers in this column add up to 100%.) The right column of numbers indicates what percentage of each group scored over 1000. For example, 77% of the Seniors scored over 1000. Use this data to construct a tree diagram similar to the one shown below. Your numbers will differ from those shown. In the tree, H represents those scoring "high" (over 1000) and L represents those scoring "low" (under 1000). 52 .58 42 So .6634 .78.22 Sr 48 .14 .08 Use your tree to answer the following questions. (a) If you learn that a student (whom you know nothing else about) made over 1000 on the SAT, what then (based on that information) is the conditional probability the student is a senior? (b) If you learn that a student (whom you know nothing else about) made under 1000 on the SAT, what then (based on that information) is the conditional probability the student is a freshman?
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