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A particle moves along the following graph: 0 1 2 so that o o If the particle is at 0, it will next move to 1. If the particle is at 1, it will next move to 0 with probability 0.99 and to 2 with probability 0.01. Starting at 0, let X denote the number of steps needed to reach 2. Then (a) What is the expected value E[X]? (b) What is the Variance Var(X)?

A particle moves along the following graph: 0 1 2 so that o o If the particle is at 0, it will next move to 1. If the particle is at 1, it will next move to 0 with probability 0.99 and to 2 with probability 0.01. Starting at 0, let X denote the number of steps needed to reach 2. Then (a) What is the expected value E[X]? (b) What is the Variance Var(X)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A particle moves along the following graph: 0 1 2 so that o o If the particle is at 0, it will next move to 1. If the particle is at 1, it will next move to 0 with probability 0.99 and to 2 with probability 0.01. Starting at 0, let X denote the number of steps needed to reach 2. Then (a) What is the expected value E[X]? (b) What is the Variance Var(X)?
Transcribed Image Text:A particle moves along the following graph: 0 1 2 so that o o If the particle is at 0, it will next move to 1. If the particle is at 1, it will next move to 0 with probability 0.99 and to 2 with probability 0.01. Starting at 0, let X denote the number of steps needed to reach 2. Then (a) What is the expected value E[X]? (b) What is the Variance Var(X)?
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