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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 f (x) = . | 3x², 0 2/3). Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = | 3x², 0

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 f (x) = . | 3x², 0 2/3). Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = | 3x², 0

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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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) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 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 f (x) = . 0, 0 <x<1 elsewhere Determine P(X < 1/3), P(1/3 <X< 2/3), and P(X > 2/3). Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = 3x², 0, 0 <x<1 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) 1/8" 1/4" 3/8" No. of customer orders 20 70 10 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 f (x) = . 0, 0 <x<1 elsewhere Determine P(X < 1/3), P(1/3 <X< 2/3), and P(X > 2/3). Exercise 3.4 In Exercise 3.3, the probability density function of X is f (x) = 3x², 0, 0 <x<1 elsewhere Determine the cumulative distribution function of X.
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