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mass function, probability

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mass function, probability
Answered Same Day Dec 29, 2021

Solution

David answered on Dec 29 2021
123 Votes
income
    Â 
    Â 
    Â 
    1
    2
    3
    SUM
    HI
    1
    0.03
    0.13
    0.44
    0.6
    
    2
    0.01
    0.01
    0.03
    0.05
    
    3
    0.07
    0.03
    0.08
    0.18
    
    4
    0.1
    0.06
    0.01
    0.17
    Â 
    SUM
    0.21
    0.23
    0.56
    1
a.
yes it is a pmf as the sum of all probabilities equal 1
.
P(HI=3) = .18. this is a marginal probability
c.
f(income/ H=1)
    Income
    probability
    Income < 30000
    0.03
    30000-50000
    0.13
    >50000
    0.44
d.
P( income > 30000 / H= 1, 2 or 3)
= P( income > 30000 and H= 1,2,3)/ p( H=1,2pr 3)
= (.13 +.44 +.01+.03+.03+.08) / (.13 +.44 +.01+.03+.03+.08+.03+.01)
= .73-.82= .89
e.
mean income for those with employer sponsored private insurance of H= 1
    Income...
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