5) What is the unemployment rate for individuals with college degrees 6) What is the probability of being unemployed 7) What is the E(Y)

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A5
Part 2. Joint Distribution and Conditional Expectations
Each /
Use the following table with the joint distribution random variable X and Y
Let random variable X-1 represent an individual has a college degree, and X=0 represent do not have a
college degree. Let random variable Y be the unemployment such that, Y=1 represent an individual is
unemployed, and Y=0 represent employed. Round to the 0.00 decimal
Pr (X, Y)
X=0
X=1
Y=0
0.51
0.37
Y=1
5) What is the unemployment rate for individuals with college degrees
6) What is the probability of being unemployed
0.08
0.04
7) What is the E(Y)
8) What is the conditional probability of Y=1 given X=1
9) What is Pr( Y=0 | X=1)
10) What is E(Y | X=1)
11) What is the var( Y | X=1)
12) Prove or describe using math (from information given) how we know X and Y are not independent.
Transcribed Image Text:Part 2. Joint Distribution and Conditional Expectations Each / Use the following table with the joint distribution random variable X and Y Let random variable X-1 represent an individual has a college degree, and X=0 represent do not have a college degree. Let random variable Y be the unemployment such that, Y=1 represent an individual is unemployed, and Y=0 represent employed. Round to the 0.00 decimal Pr (X, Y) X=0 X=1 Y=0 0.51 0.37 Y=1 5) What is the unemployment rate for individuals with college degrees 6) What is the probability of being unemployed 0.08 0.04 7) What is the E(Y) 8) What is the conditional probability of Y=1 given X=1 9) What is Pr( Y=0 | X=1) 10) What is E(Y | X=1) 11) What is the var( Y | X=1) 12) Prove or describe using math (from information given) how we know X and Y are not independent.
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