A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Problem 3: Suppose that the probability density function of X is 3x 0<x<1 f(x) = { elsewhere Determine the P (X<1/3), P (1/3 sX<2/3), and P (X 2 2/3) Problem 4: In problem 3, the probability density function of X is 0< x <1 elsewhere 3x² f(x) = 6 Determine the cumulative distribution function of X.
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Transcribed Image Text:Problem 3: Suppose that the probability density function of X is 3x 0<x<1 f(x) = { elsewhere Determine the P (X<1/3), P (1/3 sX<2/3), and P (X 2 2/3) Problem 4: In problem 3, the probability density function of X is 0< x <1 elsewhere 3x² f(x) = 6 Determine the cumulative distribution function of X.
Problem 1: The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 Let X denote the panel thickness in inches. Determine the probability mass function of X and plot f(xi). Problem 2: In problem 1, the following probabilities have been calculated: P(X=1/8) = 0.2, P(X=1/4) = 0.7, and P(X=3/8) = 0.1. Determine the cumulative distribution function of X and plot F(x).
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Transcribed Image Text:Problem 1: The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 Let X denote the panel thickness in inches. Determine the probability mass function of X and plot f(xi). Problem 2: In problem 1, the following probabilities have been calculated: P(X=1/8) = 0.2, P(X=1/4) = 0.7, and P(X=3/8) = 0.1. Determine the cumulative distribution function of X and plot F(x).
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