Linearity of expectations. A class with 11 third graders and 9 fourth graders are lined up in a random order for recess. T is the random variable which is equal to the number of 3rd graders in the first 3 places of the line. What is the expected value of T?

Linearity of expectations. A class with 11 third graders and 9 fourth graders are lined up in a random order for recess. T is the random variable which is equal to the number of 3rd graders in the first 3 places of the line. What is the expected value of T?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Linearity of expectations.

A class with 11 third graders and 9 fourth graders are lined up in a random order for recess.

T is the random variable which is equal to the number of 3rd graders in the first 3 places of the line.

What is the expected value of T?

E[T] = Ex: 1.23

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