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Exercise 3.3 Suppose that the probability density function of X is >x>0 elsewhere Determine PCX < 1/3), P(1/3 x > 0 elsewhere f (x) = . 3x², Determine the cumulative distribution function of X.

Exercise 3.3 Suppose that the probability density function of X is >x>0 elsewhere Determine PCX < 1/3), P(1/3 x > 0 elsewhere f (x) = . 3x², Determine the cumulative distribution function of X.

A First Course in Probability (10th Edition)
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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answer 3.3 and 3.4. Answer in detailed and complete solution

Exercise 3.1 The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/4" 70 1/8" 20 3/8" 10 No. of customer orders Exercise 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) = 0.1 Determine the cumulative distribution function of X and plot F(x). Exercise 3.3 Suppose that the probability density function of X is elsewhere Determine PCX < 1/3), P(1/3 sX< 2'3), and P(X 2 23). 0. Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = 3x², 0, [ >x> 0 elsewhere Determine the cumulative distribution function of X.
Transcribed Image Text:Exercise 3.1 The orders from n = 100 customers for wooden panels of various thickness (X) are summarized as follows: Wooden Panel Thickness (X; inches) 1/4" 70 1/8" 20 3/8" 10 No. of customer orders Exercise 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) = 0.1 Determine the cumulative distribution function of X and plot F(x). Exercise 3.3 Suppose that the probability density function of X is elsewhere Determine PCX < 1/3), P(1/3 sX< 2'3), and P(X 2 23). 0. Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = 3x², 0, [ >x> 0 elsewhere Determine the cumulative distribution function of X.
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