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).
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).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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?
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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