Suppose we toss m (numbered) balls into n (numbered) bins randomly. Let X be the number of bins with exactly one ball in them. Determine a formula for the probability p that a bin, say bin i has one ball in it and then calculate E(X), the expected number of bins with one ball. For m = n = 10 calculate p and E(X)

Suppose we toss m (numbered) balls into n (numbered) bins randomly. Let X be the number of bins with exactly one ball in them. Determine a formula for the probability p that a bin, say bin i has one ball in it and then calculate E(X), the expected number of bins with one ball. For m = n = 10 calculate p and E(X)

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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Suppose we toss m (numbered) balls into n (numbered) bins randomly. Let X be the number of bins with exactly one ball in them. Determine a formula for the probability p that a bin, say bin i has one ball in it and then calculate E(X), the expected number of bins with one ball. For m = n = 10 calculate p and E(X).

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