Question

Entropy of a dice: What is the average dice roll and entropy of an unbiased dice...

Entropy of a dice: What is the average dice roll and entropy of an unbiased dice (6 sides)?

If the probabilities are p1 = ⅛ p2 = ¼ p3 = ⅛ p4 = ⅛ p5 = ¼ p6 = ⅛ (p1 is the probability of rolling a 1 p2= probability of rolling a 2 etc.). What is the average dice roll and entropy? Explain why the dice is or is not biased.


0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Entropy of a dice: What is the average dice roll and entropy of an unbiased dice...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • You choose a random permutation (p1, p2, p3, p4, p5, p6, p7) of 1, 2, 3,...

    You choose a random permutation (p1, p2, p3, p4, p5, p6, p7) of 1, 2, 3, 4, 5, 6, 7, with each of the 7! permutations equally likely. What is the probability that (1 + p1)(2 + p2)(3 + p3)(4 + p4)(5 + p5)(6 + p6)(7 + p7) is even? Give an exact answer as a simplified fraction and justify your answer.

  • Problem 5 is related to Lecture 16 Problem 5. SPT and WSPT (1.3 points) (a) The table below displ...

    Problem 5 is related to Lecture 16 Problem 5. SPT and WSPT (1.3 points) (a) The table below displays the processing time for 6 projects Project P1 P2 P3 P4 P5 P6 Processing time (hours) 2.5 4 Please use the Shortest Processing Time (SPT) rule to sequence the 8 projects. (0.2 points) P2 P5 ProjectP1 Sequenc P3 P4 P6 Using the Shortest Processing Time rule, the average flow time of these 6 project hours Please show detailed analysis below (0.3...

  • probability a)You roll a dice with six sides. What is the probability of rolling a 3...

    probability a)You roll a dice with six sides. What is the probability of rolling a 3 or a 4? b)You roll one dice, twice. What is the probability of rolling an even number the first time and a 1 the second time? c) There are ten marbles in a bag, three yellow, three blue and four red. You draw one marble out of the bag. What is the probability that the marble is yellow or blue?

  • In this exercise, you will illustrate a small network and calculate some of its basic properties....

    In this exercise, you will illustrate a small network and calculate some of its basic properties. For this case, it will be a social network though any network could do. You will calculate PageRank for the network. Given the following people (nodes) and relations (edges): Nodes: P1: Tom, P2: Jean, P3: Nat, P4: Steven, P5: Vijay, P6: Mary, P7: Oscar, P8: Michelle, P9: Jian, P10: Clark Edges: P1 -> P4 P2 -> P1, P2 -> P4 P3 -> P2, P4...

  • C program Read file problem: For example, I have an input.txt file like this: q 1...

    C program Read file problem: For example, I have an input.txt file like this: q 1 tq 4 p1 10 p2 5 p3 7 p4 20 p5 17 p6 9 p7 3 p8 11 p9 15 p10 1 I want the num of q is in one array, tq is in one array, the order of process(ie,p1,p2) is in one array, and process time is in one array(process time is the number after like p1,p2). There may many q,tq,p so...

  • The processes are assumed to have arrived in the order of P1, P2, P3, P4, P5, P6 and P7 all at time 0.

    Table 1 shows the list of processes and burst time for each processesTable 1 ProcessBurst TimeP113P25P323P43P531P66P714 The processes are assumed to have arrived in the order of P1, P2, P3, P4, P5, P6 and P7 all at  time 0. a)    Calculate the average waiting time when each of the below scheduling algorithm is used. Assume that a quantum 8 is being used:i.) First Come, First Server                                                                      (6 marks)ii.) Round Robin                                                                                       (6 marks)iii.) Shortest Job First, non preemptive                                                      (6 marks)

  • PYTHON: Dice Rolling Write a script that takes input for the number of dice to roll...

    PYTHON: Dice Rolling Write a script that takes input for the number of dice to roll and for the number of sides for the dice. Roll that many n-sided dice and store the values an array. Take the number of sides of the dice and the number of dice as typed inputs from the user. Output should be a comma separated list of the die numbers with no spaces like this: 6,4,1,3,1 Write a script that will simulate the roll...

  • Individual Assignment 5 OPM101-08 VAMENG LOR nces Mailings Review View AaBbCcDdEe AaBbCcDdEe Norm...

    help please Individual Assignment 5 OPM101-08 VAMENG LOR nces Mailings Review View AaBbCcDdEe AaBbCcDdEe Normal No Spacing Problem 5. SPT and WSPT (1.3 points) (a) The table below displays the processing time for 6 projects Project Processing time (hours) P1 P2 P3 P4 P5 P6 2.5 Please use the Shortest Processing Time (SPT) rule to sequence the 8 projects. (0.2 points) Project P1 P2 P3 P4 P5 P6 Sequence Using the Shortest Processing Time rule, the average flow time of...

  • 3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e....

    3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...

  • Roll 10 dice. Find probability sum of dice is 42. (dice are 6-sided. Min roll =...

    Roll 10 dice. Find probability sum of dice is 42. (dice are 6-sided. Min roll = 10. Max roll = 120.) (number of possible rolls = 6^10 = 60466176) = s^n number of favorable rolls = number of ways dice add to 42 [(number of favorable rolls)/(number of possible rolls)] = [Probability sum is 42] You must find number of favorable rolls. Given number of dice(n), sides(s), and sum of roll (r) as n = 10, s = 6, and...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT