Consider the random variable X with probability function given in the table below. f(x) 0.2591 0.0539 2 0.1868 3 0.337 4 0.1632 a) Calculate the expected value of X. b) Calculate the expected value of X?. c) Calculate the standard deviation of X. d) Calculate the expected value of Y = - 2X + 7. e) Calculate the standard deviation of Y = – 2X + 7.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider the random variable X with probability function given in the table below.
f(x)
0.2591
0.0539
2
0.1868
3
0.337
4
0.1632
a) Calculate the expected value of X.
b) Calculate the expected value of X?.
c) Calculate the standard deviation of X.
d) Calculate the expected value of Y =
- 2X + 7.
e) Calculate the standard deviation of Y = – 2X + 7.
Transcribed Image Text:Consider the random variable X with probability function given in the table below. f(x) 0.2591 0.0539 2 0.1868 3 0.337 4 0.1632 a) Calculate the expected value of X. b) Calculate the expected value of X?. c) Calculate the standard deviation of X. d) Calculate the expected value of Y = - 2X + 7. e) Calculate the standard deviation of Y = – 2X + 7.
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