(3) (a) A fair coin is flipped, if it lands on the head side, one dice is rolled and X is the resulted number, if it lands on the tail side, two dice are rolled and X is the resulted sum. Calculate E[X] and V[X]. Write a computer program and carry out a simulation to verify your answers. (b*) A person starts walking home from a bar towards his home. The distance is n blocks. Every hour he either manages to walk one block towards home, or gets confused and picks up a cab back to the bar (each with probability 1/2). At any point, if he is at the bar, he always moves ahead one block. What is the expected time it takes him to get home? (c) Write a computer program' and carry out a simulation to verify your answer. (If you have trouble with part (b), do the computer simulation and formulate a conjecture of the answer for partial credits.)
(3) (a) A fair coin is flipped, if it lands on the head side, one dice is rolled and X is the resulted number, if it lands on the tail side, two dice are rolled and X is the resulted sum. Calculate E[X] and V[X]. Write a computer program and carry out a simulation to verify your answers. (b*) A person starts walking home from a bar towards his home. The distance is n blocks. Every hour he either manages to walk one block towards home, or gets confused and picks up a cab back to the bar (each with probability 1/2). At any point, if he is at the bar, he always moves ahead one block. What is the expected time it takes him to get home? (c) Write a computer program' and carry out a simulation to verify your answer. (If you have trouble with part (b), do the computer simulation and formulate a conjecture of the answer for partial credits.)
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...
Related questions
Question
![(3) (a) A fair coin is flipped, if it lands on the head side, one dice is rolled and X is the resulted
number, if it lands on the tail side, two dice are rolled and X is the resulted sum. Calculate
E[X] and V[X]. Write a computer program and carry out a simulation to verify your
answers.
(b*) A person starts walking home from a bar towards his home. The distance is n blocks.
Every hour he either manages to walk one block towards home, or gets confused and picks
up a cab back to the bar (each with probability 1/2). At any point, if he is at the bar, he
always moves ahead one block. What is the expected time it takes him to get home?
(c) Write a computer program' and carry out a simulation to verify your answer. (If you
have trouble with part (b), do the computer simulation and formulate a conjecture of the
answer for partial credits.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05644b88-e538-45ab-975e-cc89e051222e%2Fba9ead67-07d6-47ea-b1b7-9255f0a30664%2Fyutyvha_processed.png&w=3840&q=75)
Transcribed Image Text:(3) (a) A fair coin is flipped, if it lands on the head side, one dice is rolled and X is the resulted
number, if it lands on the tail side, two dice are rolled and X is the resulted sum. Calculate
E[X] and V[X]. Write a computer program and carry out a simulation to verify your
answers.
(b*) A person starts walking home from a bar towards his home. The distance is n blocks.
Every hour he either manages to walk one block towards home, or gets confused and picks
up a cab back to the bar (each with probability 1/2). At any point, if he is at the bar, he
always moves ahead one block. What is the expected time it takes him to get home?
(c) Write a computer program' and carry out a simulation to verify your answer. (If you
have trouble with part (b), do the computer simulation and formulate a conjecture of the
answer for partial credits.)
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