The table below gives data on students in a certain school who took the SAT. % taking SAT 47% 30% 14% % who scored over 1000 Seniors 80% Duniors Sophomores Freshmen 65% 58% 9% 46% The first column of numbers shows what percentage of the total pool of students came from each class. For example, 47% 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, 80% 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 42 So Sr .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?

The table below gives data on students in a certain school who took the SAT. % taking SAT 47% 30% 14% % who scored over 1000 Seniors 80% Duniors Sophomores Freshmen 65% 58% 9% 46% The first column of numbers shows what percentage of the total pool of students came from each class. For example, 47% 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, 80% 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 42 So Sr .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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Description: The table below gives data on students in a certain school who took the SAT.% taking SAT% who scored over 1000Seniors47%80%JuniorsSophomoresFreshmen30%65%14%58%9%46%The first column of numbers shows what percentage of the total pool of students came

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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