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SCM 470 Exam #1

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SCM 470 Exam #1 Random Variable A mathematical device which represents a numerical quantity whose value is uncertain and may differ every time we observe it. Most often classified as *discrete* or *continuous*. Sample Space The possible values that a random variable can take. Ex. When tos...

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  • October 16, 2024
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SCM 470 Exam #1

Random Variable ✅A mathematical device which represents a numerical quantity whose value is
uncertain and may differ every time we observe it.



Most often classified as *discrete* or *continuous*.



Sample Space ✅The possible values that a random variable can take.



Ex. When tossing a coin, our sample space is {Heads, Tails}



Probability Density Functions (PDF) ✅Describes the likelihood of observing different values in a random
variable's sampling space.



Cumulative Distribution Function (CDF) ✅The cumulative distribution function is utilized to determine
the probability of observing a value of a random variable less than or equal to the specified value.



CDF is the integral of the PDF.



Mean ✅Indicates the central tendency of a random variable.



Variance ✅Indicates the extent observed values of a random variable are spread from its mean.



Skew ✅Measures the degree that a random variable PDF is asymmetric.



Becomes important when conducting statistical inference and assuming cutoff values when setting
safety stock.

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