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

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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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