part 1 of 2 Consider a discrete random variable X that is defined by its piece-wise defined cumulative distribution function: Pr(X ≤ x) 1 0.8 VI 0.6+(1, 0.5) 0.4+ 0.2 (4,1) (3, 0.9) + -2 -1 0 1 2 3 4 5 6 What is the probability distribution of X? part 2 of 2 Compute the expected value (mean) for X. O 1. 2. 3. 4. x 1 3 4 x 1 3 4 Xx 1 3 4 x 1 3 4 Pr(X = x) 0 0.1 0.4 Pr(X = x) 0.5 0.9 1 Pr(X = x) 0.5 0.4 0.1 Pr(X = x) 10 50 40 1. At least 5.0 2. At least 2.0, but less than 3.0 3. At least 4.0, but less than 5.0 4. At least 3.0, but less than 4.0 5. Less than 2.0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 47E
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Question
part 1 of 2
Consider a discrete random variable
X that is defined by its piece-wise
defined cumulative distribution function:
Pr(X < x)
0.8-
0.6(1, 0.5)
0.4
0.2
(4,1)
(3, 0.9)
-2 -1 0 1 2 3
4
5 6
What is the probability distribution of X?
part 2 of 2
Compute the expected value (mean) for X.
1.
2.
3.
4.
x
1
3
4
x
1
3
4
x
1
3
4
x
1
3
4
Pr(X = x)
0
0.1
0.4
Pr(X = x)
0.5
0.9
1
Pr(X = x)
0.5
0.4
0.1
Pr(X = x)
10
50
40
1. At least 5.0
2. At least 2.0, but less than 3.0
3. At least 4.0, but less than 5.0
4. At least 3.0, but less than 4.0
5. Less than 2.0
Transcribed Image Text:part 1 of 2 Consider a discrete random variable X that is defined by its piece-wise defined cumulative distribution function: Pr(X < x) 0.8- 0.6(1, 0.5) 0.4 0.2 (4,1) (3, 0.9) -2 -1 0 1 2 3 4 5 6 What is the probability distribution of X? part 2 of 2 Compute the expected value (mean) for X. 1. 2. 3. 4. x 1 3 4 x 1 3 4 x 1 3 4 x 1 3 4 Pr(X = x) 0 0.1 0.4 Pr(X = x) 0.5 0.9 1 Pr(X = x) 0.5 0.4 0.1 Pr(X = x) 10 50 40 1. At least 5.0 2. At least 2.0, but less than 3.0 3. At least 4.0, but less than 5.0 4. At least 3.0, but less than 4.0 5. Less than 2.0
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