Assume that the probability distribution of our input is known to be uniform (continuous) over the range [0,100]. We want to bucket-sort 10,000 real numbers using the BUCKET-SORT algorithm in CLRS, Section 8.4 (i.e., with 10,000 buckets). What is the probability that bucket 0 will remain empty? What is the probability that the first 5 buckets will all remain empty? Express your answers to four decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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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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Assume that the probability distribution of our input is known to be uniform (continuous) over the range [0,100]. We want to bucket-sort 10,000 real numbers using the BUCKET-SORT algorithm in CLRS, Section 8.4 (i.e., with 10,000 buckets). What is the probability that bucket 0 will remain empty? What is the probability that the first 5 buckets will all remain empty? Express your answers to four decimal places.

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