4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may war to enter these into a spreadsheet for this exercise GENDER Men=0 Women=1 Democrat=1 0.15 0.29 Republican=2 0.30 0.10 Other=3 0.11 0.05 a) Find the marginal (i.e. the unconditional) distribution of PARTY. b) Find the marginal (i.e. the unconditional) distribution of GENDER. c) Use B.15 to find the conditional pdf: f GENDER | PARTY - for both gender outcomes conditional on all three possible party outcomes. What does this conditional pdf tell us? Make sure you find values PARTY

4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may war to enter these into a spreadsheet for this exercise GENDER Men=0 Women=1 Democrat=1 0.15 0.29 Republican=2 0.30 0.10 Other=3 0.11 0.05 a) Find the marginal (i.e. the unconditional) distribution of PARTY. b) Find the marginal (i.e. the unconditional) distribution of GENDER. c) Use B.15 to find the conditional pdf: f GENDER | PARTY - for both gender outcomes conditional on all three possible party outcomes. What does this conditional pdf tell us? Make sure you find values PARTY

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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Concept explainers

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may want
to enter these into a spreadsheet for this exercise
GENDER
Men=0
Women=1
Democrat=1
0.15
0.29
Republican=2
0.30
0.10
Other=3
0.11
0.05
a) Find the marginal (i.e. the unconditional) distribution of PARTY.
b) Find the marginal (i.e. the unconditional) distribution of GENDER.
c) Use B.15 to find the conditional pdf: f GENDER | PARTY -
for both gender outcomes conditional on all three possible party outcomes. What
does this conditional pdf tell us?
Make sure you find values
d) Are GENDER and PARTY independent random variables? Give an example of a
calculation based on equation B.12 that tells us whether they are independent or
not and explain how to interpret it.
PARTY

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