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(b) Here is some data from the 2016 General Social Survey that cross-classified a random sample of Americans according to their gender and belief in an afterlife. Belief No or Undecided 357 413 770 Gender Females Males Yes 1230 859 2089 Total 1587 1272 2859 (i) Suppose you ran into one of the people that was sampled during the 2016 General Social Survey, what is probability that this person would identify as male? Is this a marginal probability or a joint probability? What is the probability that someone who had been sampled during this survey believed in the afterlife? Is this a marginal probability or a joint probability? (iii) What is probability that a person who identifies as female does not believe in the afterlife or is undecided? Is this a marginal probability or a joint probability?

(b) Here is some data from the 2016 General Social Survey that cross-classified a random sample of Americans according to their gender and belief in an afterlife. Belief No or Undecided 357 413 770 Gender Females Males Yes 1230 859 2089 Total 1587 1272 2859 (i) Suppose you ran into one of the people that was sampled during the 2016 General Social Survey, what is probability that this person would identify as male? Is this a marginal probability or a joint probability? What is the probability that someone who had been sampled during this survey believed in the afterlife? Is this a marginal probability or a joint probability? (iii) What is probability that a person who identifies as female does not believe in the afterlife or is undecided? Is this a marginal probability or a joint probability?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In this problem you will get additional practice with the concepts of marginal probability, joint probability and independence.
(b) Here is some data from the 2016 General Social Survey that cross-classified a random sample of Americans according to their gender and belief in an afterlife. Belief Gender Females Males Yes No or Undecided 1230 859 2089 357 413 770 Total 1587 1272 2859 (i) Suppose you ran into one of the people that was sampled during the 2016 General Social Survey, what is probability that this person would identify as male? Is this a marginal probability or a joint probability? (ii) What is the probability that someone who had been sampled during this survey believed in the afterlife? Is this a marginal probability or a joint probability? (iii) What is probability that a person who identifies as female does not believe in the afterlife or is undecided? Is this a marginal probability or a joint probability? (iv) Based on this data, i.e., without further analysis, would you expect the belief (in the afterlife) of the person you met to depend on that person's gender? Explain.
Transcribed Image Text:(b) Here is some data from the 2016 General Social Survey that cross-classified a random sample of Americans according to their gender and belief in an afterlife. Belief Gender Females Males Yes No or Undecided 1230 859 2089 357 413 770 Total 1587 1272 2859 (i) Suppose you ran into one of the people that was sampled during the 2016 General Social Survey, what is probability that this person would identify as male? Is this a marginal probability or a joint probability? (ii) What is the probability that someone who had been sampled during this survey believed in the afterlife? Is this a marginal probability or a joint probability? (iii) What is probability that a person who identifies as female does not believe in the afterlife or is undecided? Is this a marginal probability or a joint probability? (iv) Based on this data, i.e., without further analysis, would you expect the belief (in the afterlife) of the person you met to depend on that person's gender? Explain.
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