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6. Consider the cdf of a random variable X defined below. 0, x < 0 0 ≤ x < 1 1 ≤ x < 2 2≤ x < 3 3≤x Fx(x) = The graph is given below. -2 1, у 1.01 -1 0.8 0.6 0.4 0.2+ 0 5 + o Fx(r) 1 (The random variable X is neither a discrete nor continuous random variable. It is called a hybrid, having characteristics of both discrete and continuous random variables. This does not matter for this problem.) Find the following probabilities using the cdf of X and the formulas given in the pdf DiscreteRandom Variables V.pdf. Express all your answers as fractions in lowest terms. P(-0.5 < X < 1) P(2.5 < X < 7) P(1 < X < 2.5) P(0 ≤ x ≤3) P(X> 1.5) P(X ≤ 0.25) P(X < 6.75) P(X > -10)

6. Consider the cdf of a random variable X defined below. 0, x < 0 0 ≤ x < 1 1 ≤ x < 2 2≤ x < 3 3≤x Fx(x) = The graph is given below. -2 1, у 1.01 -1 0.8 0.6 0.4 0.2+ 0 5 + o Fx(r) 1 (The random variable X is neither a discrete nor continuous random variable. It is called a hybrid, having characteristics of both discrete and continuous random variables. This does not matter for this problem.) Find the following probabilities using the cdf of X and the formulas given in the pdf DiscreteRandom Variables V.pdf. Express all your answers as fractions in lowest terms. P(-0.5 < X < 1) P(2.5 < X < 7) P(1 < X < 2.5) P(0 ≤ x ≤3) P(X> 1.5) P(X ≤ 0.25) P(X < 6.75) P(X > -10)

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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6. Consider the cdf of a random variable X defined below. 0, I <0 0 ≤ x < 1 1<x<2 2<x<3 3≤ x Fx(x) = The graph is given below. -2 3² 2+1, 1, Y 1.0F -1 0.8 0.6 0.4- 0.2 + 5 0 Fx(x) = = = ✪ = 1 = (The random variable X is neither a discrete nor continuous random variable. It is called a hybrid, having characteristics of both discrete and continuous random variables. This does not matter for this problem.) Find the following probabilities using the cdf of X and the formulas given in the pdf DiscreteRandom Variables V.pdf. Express all your answers as fractions in lowest terms. P(-0.5 < X < 1) P(2.5 < X < 7) P(1 < X < 2.5) P(0 ≤ x ≤3) P(X > 1.5) P(X ≤ 0.25) P(X < 6.75) P(X > -10) 2 3 4 5 X
Transcribed Image Text:6. Consider the cdf of a random variable X defined below. 0, I <0 0 ≤ x < 1 1<x<2 2<x<3 3≤ x Fx(x) = The graph is given below. -2 3² 2+1, 1, Y 1.0F -1 0.8 0.6 0.4- 0.2 + 5 0 Fx(x) = = = ✪ = 1 = (The random variable X is neither a discrete nor continuous random variable. It is called a hybrid, having characteristics of both discrete and continuous random variables. This does not matter for this problem.) Find the following probabilities using the cdf of X and the formulas given in the pdf DiscreteRandom Variables V.pdf. Express all your answers as fractions in lowest terms. P(-0.5 < X < 1) P(2.5 < X < 7) P(1 < X < 2.5) P(0 ≤ x ≤3) P(X > 1.5) P(X ≤ 0.25) P(X < 6.75) P(X > -10) 2 3 4 5 X
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