According to a June 10, 2018 Gallup poll, the approval rating for President Trump by party affiliation is: | Republicans | Independents | Democrats ----------------------------------------------------------------------------------- Approve | 0.9 | 0.35 | 0.08 ----------------------------------------------------------------------------------- Do Not Approve | | | (a) Fill in the missing values. What type of PMF is each column? (b) Construct a joint PMF if 40% of Americans are Republican, 40% Democrat, and 20% independent. (c) Find the marginal PMFs of X (approval/disapproval) and of Y (party affiliation). (d) Find the conditional PMF of Y given X = Approve

According to a June 10, 2018 Gallup poll, the approval rating for President Trump by party affiliation is: | Republicans | Independents | Democrats ----------------------------------------------------------------------------------- Approve | 0.9 | 0.35 | 0.08 ----------------------------------------------------------------------------------- Do Not Approve | | | (a) Fill in the missing values. What type of PMF is each column? (b) Construct a joint PMF if 40% of Americans are Republican, 40% Democrat, and 20% independent. (c) Find the marginal PMFs of X (approval/disapproval) and of Y (party affiliation). (d) Find the conditional PMF of Y given X = Approve

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

According to a June 10, 2018 Gallup poll, the approval rating for President Trump by party
affiliation is:
| Republicans | Independents | Democrats

-----------------------------------------------------------------------------------
Approve | 0.9 | 0.35 | 0.08

-----------------------------------------------------------------------------------
Do Not Approve | | |

(a) Fill in the missing values. What type of PMF is each column?
(b) Construct a joint PMF if 40% of Americans are Republican, 40% Democrat, and 20%
independent.
(c) Find the marginal PMFs of X (approval/disapproval) and of Y (party affiliation).
(d) Find the conditional PMF of Y given X = Approve

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Step 1: a) The sum of probabilities in each column should be 1. Therefore the values are filled here as:

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Step 2: b) We are given here that:

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Step 3: c) The marginal PDF for X is obtained by adding the corresponding rows here as:

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