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At a science fair, 4 different groups of students from a local school are showcasing their projects. The groups arrive with their advisors and each group has a different number of students (40, 33, 25, and 50, respectively). A participant is chosen randomly from the entire pool of students. Let’s use the variable X to represent the number of students in the group that the selected participant belongs to. Meanwhile, the event organizers decide to acknowledge the hard work of one of the advisors by ”randomly selecting” one of them for special recognition. Let’s use the variable Y to represent the number of students who came with the chosen advisor. (a) Before doing any computations, which of E(X) or E(Y) do you think is larger? Or are they the same? Why? (b) Compute E(X) and E(Y). Comment.

At a science fair, 4 different groups of students from a local school are showcasing their projects. The groups arrive with their advisors and each group has a different number of students (40, 33, 25, and 50, respectively). A participant is chosen randomly from the entire pool of students. Let’s use the variable X to represent the number of students in the group that the selected participant belongs to. Meanwhile, the event organizers decide to acknowledge the hard work of one of the advisors by ”randomly selecting” one of them for special recognition. Let’s use the variable Y to represent the number of students who came with the chosen advisor. (a) Before doing any computations, which of E(X) or E(Y) do you think is larger? Or are they the same? Why? (b) Compute E(X) and E(Y). Comment.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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At a science fair, 4 different groups of students from a local school are showcasing their projects. The groups arrive with their advisors and each group has a different number of students (40, 33, 25, and 50, respectively). A participant is chosen randomly from the entire pool of students. Let’s use the variable X to represent the number of students in the group that the selected participant belongs to. Meanwhile, the event organizers decide to acknowledge the hard work of one of the advisors by ”randomly selecting” one of them for special recognition. Let’s use the variable Y to represent the number of students who came with the chosen advisor. (a) Before doing any computations, which of E(X) or E(Y) do you think is larger? Or are they the same? Why? (b) Compute E(X) and E(Y). Comment.
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