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 variousthickness (X) are summarized as follows:Wooden Panel Thickness (X; inches)1/4"701/8"203/8"10No. of customer ordersExercise 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 iselsewhereDetermine 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 isf (x) = 3x²,0,[ >x> 0elsewhereDetermine the cumulative distribution function of X.

Answered: Image /qna-images/answer/b3b3f474-0c4d-4f55-9be5-577b83057ecc.jpg

Answered: Exercise 3.3 Suppose that the…

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)

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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Question

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.

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