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.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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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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