A hashing algorithm is using the hash function h(K) = K mod 997. At a given point in the operation, 500 of the table entries already have at least one key stored. a) The algorithm now receives a new key, K1. What is the probabiltity that we DO NOT have a collision? Work:   Final numerical Result: P(no collision for k1) = _______   b) Good news, there was no collision for k1! next, another new key,k2 is received. what is the probability that we DO have a collision? Work:   final numerical result: P(collision for k2)

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
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A hashing algorithm is using the hash function h(K) = K mod 997. At a given point in the operation, 500 of the table entries already have at least one key stored.

a) The algorithm now receives a new key, K1. What is the probabiltity that we DO NOT have a collision?

Work:

 

Final numerical Result: P(no collision for k1) = _______

 

b) Good news, there was no collision for k1! next, another new key,k2 is received. what is the probability that we DO have a collision?

Work:

 

final numerical result: P(collision for k2) =

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