4. A particle moves on the x- axis starting at x = 0. With equal probability, the particlemoves to the left or right one unit. Let X denote the position on the x- axis afterfour moves.(a) Find px(x). Notice that X can take on -4,-2,0, 2, 4. Fill out the table below.xPx(x)(b) What is the expected position of the particle after four moves. That is, computeE(X). Express your answer as a fraction in lowest terms.

(a) Obtain the probability of P(x) and values of the table. The probability of P(x) and values…

Answered: 4. A particle moves on the x-axis…

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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Suppose that approximately 40% of the population has Type O+ blood. You take a sample of 5 persons. Let Y denote the number of persons in the sample with Type O+ blood. Find each of the following. (a) Pr{Y = 2} = (b) Pr{Y < 2} = (c) Pr{Y ≥ 2} =
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3.a. Suppose Var(X1) = 2.25, Var(X2) = 2.56, and Cov(X1, X2) = -0.25. Find the correlation p of X1 and X2. b. Suppose E(Y;) = 1
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f the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0.7, what is the probability that out of 8 newly hired people (A) 5 will still be with the company after 1 year? (B) 5 or more will still be with the company after 1 year? Round each of the calculations to three decimal places when going through the solution process.
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