i If random variable X has a larger expected value than random variable Y then it must also have a larger variance. ii Let random variable X be the height of a random CS5002 student in feet and X' be the height of a student from the same group in millimeters The variance of X' is greater than the variance of X. iii For every positive a, b eR there exists an no such that: n > no → an³ > bn? 'Unless you have made arrangements with the Professor prior to the start of this exam 2 Assume that not all students have the same height

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Discrete math: Indicate whether each of the statements below is True or False. No explanation is needed.
i If random variable X has a larger expected value than random variable Y then it must also
have a larger variance.
ii Let random variable X be the height of a random CS5002 student in feet and X' be the height of
a student from the same group in millimeters The variance of X' is greater than the variance
of X.
iii For every positive a, b e R there exists an no such that:
n > no → an³ > bn?
'Unless you have made arrangements with the Professor prior to the start of this exam
2 Assume that not all students have the same height
Transcribed Image Text:i If random variable X has a larger expected value than random variable Y then it must also have a larger variance. ii Let random variable X be the height of a random CS5002 student in feet and X' be the height of a student from the same group in millimeters The variance of X' is greater than the variance of X. iii For every positive a, b e R there exists an no such that: n > no → an³ > bn? 'Unless you have made arrangements with the Professor prior to the start of this exam 2 Assume that not all students have the same height
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