Exercise 3.1 The orders from n=100 customers for wooden panels of variousthickness (X) are summarized as follows:Wooden Panel Thickness (X; inches)1/8"1/4"3/8"No. of customer orders207010Exercise 3.2 In Exercise 3.1, the following probabilities have been calculated:P(X=1/8) = 0.2, P(X=1/4) = 0.7, and P(X=3/8) = 0.1Determine the cumulative distribution function of X and plot F(x).Exercise 3.3 Suppose that the probability density function of X isf (x) = .0,0 2/3).Exercise 3.4 In Exercise 3.3, the probability density function of X isf (x) = 3x²,0,0

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Answered: Exercise 3.2 In Exercise 3.1, the…

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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Exercise 8: (Hard) Let us suppose that f is a probability density function, and f(x) = 0 if x b. Then show that the variance V can be computed as: x²f(x) dx – x² f(x) dx – E². xf(x) dx
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