Daniel is 1000 meters from his home and decides to walk home. Every time he takes one step, he goes forward 1 meter with a probability of 2/3 and backwards 1 meter with a probability of 1/3, regardless of the steps taken earlier. (a) Calculate the expected value of the distance to his home after 1000 steps. (b) Calculate approximately the probability that Daniel, after 1000 steps have come at least 300 meters closer to his home. Plz explain
Daniel is 1000 meters from his home and decides to walk home. Every time he takes one step, he goes forward 1 meter with a probability of 2/3 and backwards 1 meter with a probability of 1/3, regardless of the steps taken earlier. (a) Calculate the expected value of the distance to his home after 1000 steps. (b) Calculate approximately the probability that Daniel, after 1000 steps have come at least 300 meters closer to his home. Plz explain
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Daniel is 1000 meters from his home and decides to walk home. Every time he takes one step, he goes forward 1 meter with a probability of 2/3 and backwards 1 meter with a probability of 1/3, regardless of the steps taken earlier.
(a) Calculate the expected value of the distance to his home after 1000 steps.
(b) Calculate approximately the probability that Daniel, after 1000 steps have come at least 300 meters closer to his home.
Plz explain.
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