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1. Write a function that rolls a dice n times for a given integer n and computes a running percentage of times each number is rolled (# of times 1 has been rolled)/(# of rolls so far) and so on. That is, at the i-th roll, you should compute (# of 1s)/i, (# of 2s)/i, . and store these values. 2. Modify this function to take in a probability distribution over the 6 numbers of the form p=np.array ( [pl,p2,p3,p4,p5,p6]) and roll a dice n times with these probabilities 3. Run your function from part 1 with n = 1000 and graph the rolling averages for all numbers vs. i in range (n)

1. Write a function that rolls a dice n times for a given integer n and computes a running percentage of times each number is rolled (# of times 1 has been rolled)/(# of rolls so far) and so on. That is, at the i-th roll, you should compute (# of 1s)/i, (# of 2s)/i, . and store these values. 2. Modify this function to take in a probability distribution over the 6 numbers of the form p=np.array ( [pl,p2,p3,p4,p5,p6]) and roll a dice n times with these probabilities 3. Run your function from part 1 with n = 1000 and graph the rolling averages for all numbers vs. i in range (n)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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In python excersie 2 only 

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Exercise 2 1. Write a function that rolls a dice n times for a given integer n and computes a running percentage of times each number is rolled (# of times 1 has been rolled/(# of rolls so far) and so on. That is, at the i-th roll, you should compute (# of 1si, (# of 2s)/i, .. and store these values. 2. Modify this function to take in a probability distribution over the 6 numbers of the form p=np.array([pl,p2,p3, p4,p5, p6] ) and roll a dice n times with these probabilities 3. Run your function from part 1 with n = 1000 and graph the rolling averages for all numbers vs. i in range(n) 4. Run your function from part 2 with n = 1000 and p= [.2, .1, .2, .1.1, .3] 5. Use the plots above to justify that the first dice is fair and the second is unfair In ( ]: # Write your functions here In ( ]: #Test your functions here Exercise 3 Plot the 2-variable function sin(10(x2 + y²))/10 for x €-1, 1] and ye-1, 1] In [9]: # Write your solution here
Transcribed Image Text:Exercise 2 1. Write a function that rolls a dice n times for a given integer n and computes a running percentage of times each number is rolled (# of times 1 has been rolled/(# of rolls so far) and so on. That is, at the i-th roll, you should compute (# of 1si, (# of 2s)/i, .. and store these values. 2. Modify this function to take in a probability distribution over the 6 numbers of the form p=np.array([pl,p2,p3, p4,p5, p6] ) and roll a dice n times with these probabilities 3. Run your function from part 1 with n = 1000 and graph the rolling averages for all numbers vs. i in range(n) 4. Run your function from part 2 with n = 1000 and p= [.2, .1, .2, .1.1, .3] 5. Use the plots above to justify that the first dice is fair and the second is unfair In ( ]: # Write your functions here In ( ]: #Test your functions here Exercise 3 Plot the 2-variable function sin(10(x2 + y²))/10 for x €-1, 1] and ye-1, 1] In [9]: # Write your solution here
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