Solve the so-called "Birthday Problem". Write a program that takes an integer N and uses the function np.random.randint (low = 0, high = N) from numpy to generate a random sequence of integers between 0 and N – 1. Run experiments to validate the hypothesis that the number of integers generated until the first repeated value is approximately a) Write a function birthday(N) that returns the number of values generated until a value is repeated as a function of the range of possible values N (from O to N – 1); b) Write a function birthday_sim(N) that repeats birthday (N) a total of n_sim - 20000 times and returns the average of all the numbers generated;

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Solve the so-called "Birthday Problem". Write a program that takes an integer N and uses the function np.random.randint (low = 0, high = N)
from numpy to generate a random sequence of integers between 0 and N – 1. Run experiments to validate the hypothesis that the number of integers
N
generated until the first repeated value is approximately
a) Write a function birthday(N) that returns the number of values generated until a value is repeated as a function of the range of possible values N (from
O to N – 1);
b) Write a function birthday_sim (N) that repeats birthday(N) a total of n_sim
generated;
- 20000 times and returns the average of all the numbers
Transcribed Image Text:Solve the so-called "Birthday Problem". Write a program that takes an integer N and uses the function np.random.randint (low = 0, high = N) from numpy to generate a random sequence of integers between 0 and N – 1. Run experiments to validate the hypothesis that the number of integers N generated until the first repeated value is approximately a) Write a function birthday(N) that returns the number of values generated until a value is repeated as a function of the range of possible values N (from O to N – 1); b) Write a function birthday_sim (N) that repeats birthday(N) a total of n_sim generated; - 20000 times and returns the average of all the numbers
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