Consider the random variable X with probability function given in the table below. f(x) 0 0.1631 1 0.0657 2 0.1909 3 0.3073 4 0.2731 X a) Calculate the expected value of X. b) Calculate the expected value of X². d) Calculate the expected value of Y = -3X + 1.
Consider the random variable X with probability function given in the table below. f(x) 0 0.1631 1 0.0657 2 0.1909 3 0.3073 4 0.2731 X a) Calculate the expected value of X. b) Calculate the expected value of X². d) Calculate the expected value of Y = -3X + 1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Consider the random variable X with probability function given in the table below.
f(x)
0.1631
0.0657
0.1909
3 0.3073
4 0.2731
X
0
1
2
a) Calculate the expected value of X.
b) Calculate the expected value of X².
d) Calculate the expected value of Y=-3X + 1.
Expert Solution
Step 1: Information given is
| x | f(x) |
| 0 | 0.1631 |
| 1 | 0.0657 |
| 2 | 0.1909 |
| 3 | 0.3073 |
| 4 | 0.2731 |
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