A random variable X has cumulative distribution function F given in the following graph: X -2 -1 1 2 3 4 5 Compute the following: range(X); f(x), the probability density function of F, if it admits; P(X = 1); P(e ≤ X ≤ 4.5) (e is the Euler constant); P(X ≥ 1|X ≤ 3). E[X]. Var[X]. F(x) 0.8 0.6 0.4 0.2
A random variable X has cumulative distribution function F given in the following graph: X -2 -1 1 2 3 4 5 Compute the following: range(X); f(x), the probability density function of F, if it admits; P(X = 1); P(e ≤ X ≤ 4.5) (e is the Euler constant); P(X ≥ 1|X ≤ 3). E[X]. Var[X]. F(x) 0.8 0.6 0.4 0.2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question
![A random variable X has cumulative distribution function
F given in the following graph:
X
-2
-1
1
2
3
4
5
Compute the following:
range(X);
f(x), the probability density function of F, if it admits;
P(X = 1);
P(e ≤ X ≤ 4.5) (e is the Euler constant);
P(X ≥ 1|X ≤ 3).
E[X].
Var[X].
F(x)
0.8
0.6
0.4
0.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F734d431c-c5fe-4366-a7d3-7661a31b1d15%2F6e27f391-3d40-4960-8c9a-2ffa4e42c96e%2Fc6dogc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random variable X has cumulative distribution function
F given in the following graph:
X
-2
-1
1
2
3
4
5
Compute the following:
range(X);
f(x), the probability density function of F, if it admits;
P(X = 1);
P(e ≤ X ≤ 4.5) (e is the Euler constant);
P(X ≥ 1|X ≤ 3).
E[X].
Var[X].
F(x)
0.8
0.6
0.4
0.2
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