ECE302 Quiz-08
University
•9 Qs
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ECE302 Quiz-08
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard
+5
Standards-aligned
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9 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the joint probability mass function (PMF) of two discrete random variables X and Y defined as?
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.6
CCSS.HSS.CP.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the marginal probability density function (PDF) fX(x) from the joint PDF fX,Y(x,y)?
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two random variables X and Y are independent, how is their joint PDF fX,Y(x,y) related to their marginal PDFs?
Tags
CCSS.HSS.CP.A.2
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the joint expectation E[XY] of two continuous random variables X and Y?
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the joint expectation E[XY] represent?
The covariance between X and Y
A weighted inner product between the states of X and Y
The variance of the sum of X and Y
The sum of the individual expectations of X and Y
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What inequality holds for the joint expectation E[XY] according to the Cauchy-Schwarz inequality?
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the covariance of two random variables X and Y?
Tags
CCSS.HSS.ID.B.6
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