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 alsohave a larger variance.ii Let random variable X be the height of a random CS5002 student in feet and X' be the height ofa student from the same group in millimeters?, The variance of X' is greater than the varianceof X.iii For every positive a, b eR there exists an no such that:n > no → an³ > bn²'Unless you have made arrangements with the Professor prior to the start of this exam2 Assume that not all students have the same height1Use the function definitions immediately below for the next 3 problems:f(n) = 3n log10 n + 5g(n) = 99999 log3 nh(n) = .00001 logą n+.0000001n?iv f(n) = 0(h(n))v g(n) = 0(h(n))vi f(n) = 2(g(n))vii An undirected graph on n nodes with at least ()/2 edges must be connected.

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Description: 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 alsohave a larger variance.ii Let random variable X be the height of a ra

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Author:Carter

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Chapter10: Statistics

Section10.5: Comparing Sets Of Data

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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 eR there exists an no such that:
n > no → an³ > bn²
'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
1
Use the function definitions immediately below for the next 3 problems:
f(n) = 3n log10 n + 5
g(n) = 99999 log3 n
h(n) = .00001 logą n+.0000001n?
iv f(n) = 0(h(n))
v g(n) = 0(h(n))
vi f(n) = 2(g(n))
vii An undirected graph on n nodes with at least ()/2 edges must be connected.

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part i

True

part ii

False

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