Let S be the educational attainment of individuals in a town, with values S-O for less than high school and 5-1 for high school or above. Also, let Y be their individual annual income with values Y-O for less than $20,000, Y-1 for between $20,000 and $40,000, and Y=2 for above $40,000. Consider now the following joint probabilities: Y-0 (less than $20K) Y-1 ($20K-$40K) Y-2 (more than $40K) 0.03 0.01 0.36 0.33 S\Y S-0 (Less than HS) 0.05 Y-1 (HS or more) 0.22 Determine the conditional standard deviation of the level of educational attainment given that the individual annual income is between $20,000 and $40,000.

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Let S be the educational attainment of individuals in a town, with values S-0 for less than high school and S=1
for high school or above. Also, let Y be their individual annual income with values Y-O for less than $20,000,
Y-1 for between $20,000 and $40,000, and Y=2 for above $40,000. Consider now the following joint
probabilities:
Y-0 (less than $20K) Y-1 ($20K-$40K) Y-2 (more than $40K)
0.03
0.01
0.36
0.33
SIY
S-0 (Less than HS) 0.05
Y-1 (HS or more) 0.22
Determine the conditional standard deviation of the level of educational attainment given that the individual
annual income is between $20,000 and $40,000.
Transcribed Image Text:Let S be the educational attainment of individuals in a town, with values S-0 for less than high school and S=1 for high school or above. Also, let Y be their individual annual income with values Y-O for less than $20,000, Y-1 for between $20,000 and $40,000, and Y=2 for above $40,000. Consider now the following joint probabilities: Y-0 (less than $20K) Y-1 ($20K-$40K) Y-2 (more than $40K) 0.03 0.01 0.36 0.33 SIY S-0 (Less than HS) 0.05 Y-1 (HS or more) 0.22 Determine the conditional standard deviation of the level of educational attainment given that the individual annual income is between $20,000 and $40,000.
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