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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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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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