Consider a discrete random variable X that is defined by its piece-wise defined cumulative distribution function: Pr(X ≤ x) 1 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 Compute the sum of the numerical value of the 75th percentile and the expected value of the discrete random variable X. (That is, find *0.75 + E[x]). 1. At least 3.0, but less than 4.0. 2. Less than 3.0 3. At least 4.0, but less than 5.0. 4. At least 5.0, but less than 6.0. 5. At least 6.0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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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 34
+
+
56
Compute the sum of the numerical value of
the 75th percentile and the expected value of
the discrete random variable X. (That is, find
*0.75 + E[x]).
1. At least 3.0, but less than 4.0.
2. Less than 3.0
3. At least 4.0, but less than 5.0.
4. At least 5.0, but less than 6.0.
5. At least 6.0.
Transcribed Image Text: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 34 + + 56 Compute the sum of the numerical value of the 75th percentile and the expected value of the discrete random variable X. (That is, find *0.75 + E[x]). 1. At least 3.0, but less than 4.0. 2. Less than 3.0 3. At least 4.0, but less than 5.0. 4. At least 5.0, but less than 6.0. 5. At least 6.0.
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Step 1

Given information:

X is a discrete random variable.

The graph of the cumulative distribution function is given.

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