You are interested in the US presidential elections and decide to analyze whether or not the presidential candidate for a particular party did better if his party controlled the House. Accordingly, you collected data for all the past elections and generated the accompanying table: (table attached in the photo) (a) Should you interpret your data as the "population", or a "sample" from which you want to infer the behavior of a larger population? (b) Compute E(Y). (c) Conditional on a Democratic president, what is the probability that the Republications had control of the House during this term? (d) Compute Var(Y l X=0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 57E
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You are interested in the US presidential elections and decide to analyze whether or not the presidential candidate for a particular party did better if his party controlled the House. Accordingly, you collected data for all the past elections and generated the accompanying table:

(table attached in the photo)

(a) Should you interpret your data as the "population", or a "sample" from which you want to infer the behavior of a larger population?

(b) Compute E(Y).

(c) Conditional on a Democratic president, what is the probability that the Republications had control of the House during this term?

(d) Compute Var(Y l X=0).

(e) Are the random variables X & Y independent. Why?

 

Democratic Control Republication Control
of House (Y = 0)
of House (Y = 1)
Total
Democratic President (X = 0)
Republication President (X = 1)
0.45
0.08
0.53
0.18
0.29
0.47
Total
0.63
0.37
1.00
Transcribed Image Text:Democratic Control Republication Control of House (Y = 0) of House (Y = 1) Total Democratic President (X = 0) Republication President (X = 1) 0.45 0.08 0.53 0.18 0.29 0.47 Total 0.63 0.37 1.00
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