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.

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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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X is a discrete random variable.

The graph of the cumulative distribution function is given.

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