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Probability Distribution & Standard Deviation

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January 26th, 2023

The New York City Housing and Vacancy Survey showed a total of 59,324 rent-controlled housing units and 236,263 rent-stabilized units built in 194 or later. For these rental units, the probability distributions for the number of persons living in the unit are given.

Number of Persons Rent-Controlled Rent-Stabilized
1 0.61 0.41
2 0.27 0.30
3 0.07 0.14
4 0.04 0.11
5 0.01 0.03
6 0.00 0.01

a. What is the expected value of the number of people living in rent-controlled units?
Rent Controlled: E(x) =

b. What is the expected value of the number of people living in rent-stabilized units?
Rent Stabilized: E(x) =

c. What is the standard deviation of the number of people living in rent-controlled units?
Var(x) =
Standard Deviation =

d. What is the standard deviation of the number of people living in rent-stabilized units?
Var(x) =
Standard Deviation =

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