There are 50 objects and 30 boxes. Each object is equally likely to put in any of the boxes and the put of each ball is independent. 1. What is the probability that there exists at least one empty box? 2. What is the expected number of boxes that receive exactly one object? 3. What is the expected number of objects that are not alone in their box?

There are 50 objects and 30 boxes. Each object is equally likely to put in any of the boxes and the put of each ball is independent. 1. What is the probability that there exists at least one empty box? 2. What is the expected number of boxes that receive exactly one object? 3. What is the expected number of objects that are not alone in their box?

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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