For the case n = 10 and m = 20, interpret the result for E(X) (write one sentence in English to explain what the result means).
For the case n = 10 and m = 20, interpret the result for E(X) (write one sentence in English to explain what the result means).
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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Question
Suppose we toss m (numbered) balls into n (numbered) bins randomly.
Let X be the number of empty bins.
In class we showed that E(X) = n(1 − 1/n)^m. For n = 10 and m = 5, 10, 20 calculate E(X).
For the case n = 10 and m = 20, interpret the result for E(X) (write one sentence in English to explain what the result means).
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