GOV 350K Lecture Notes - Lecture 3: Bernoulli Distribution, Binomial Distribution, The Book Of Lost Tales

48 views3 pages
Published on 11 Apr 2020
School
UT-Austin
Department
Government
Course
GOV 350K
Professor
Statistical Analysis in Political Science
Homework Assignment No. 3 (Due Thursday, February 27)
I. In 1984, a Gallup Survey asked a national sample of respondents:
Recently there has been a lot of talk about women's rights. Some people feel that women should
have an equal role with men in running business, industry and government. Others feel that
women should not generally have equal leadership roles and that even if they want to work they
should still have primary responsibility for running the home and family. What is your opinion
on this issue?
Even If They Work
Still Responsible
Equal Role For Running Home
1 2 3 4 5 6 7
Responses to this question from men and women are summarized in the following frequency
distributions:
Women Men
Value Frequency Percent Value Frequency Percent
1 274 37.9 1 211 30.2
2 87 12.0 2 93 13.3
3 80 11.1 3 75 10.7
4 112 15.5 4 134 19.2
5 76 10.5 5 88 12.6
6 41 5.7 6 48 6.9
7 53 7.3 7 49 7.0
Total 723 100.0 Total 698 100.0
(1) How would you describe both distributions in terms of their central tendency and variation?
Calculate the most appropriate descriptive statistics. If necessary, consider the scale as a
continuum and use the decimal point in your results.
(2) Compare the two groups' opinion toward women's role.
(3) For men and women in the Gallup sample, which group is more homogeneous in their
opinion toward women's role? Or are they about equally homogeneous?
II. Exercises on random variables and probability distributions
(1) Let X follow the Bernoulli distribution with parameter π=0.56. Calculate E(X) and Var(X).
(2) Let S=the number of Obama supporters in a random sample of 11 voters, each of whom has a
probability of π=0.6 of voting for Obama. Provide the probability distribution of S. (Hint: Use
the table of “Individual Binomial Probabilities” in Wonnacott & Wonnacott.)
(3)For the random variable S in (2), calculate E(S) and Var(S).
(4)For the random sample of 11 voters in (2), what is the probability that a majority of them are
Obama supporters? What is the probability that a minority of them are Obama supporters?
1
Unlock document

This preview shows page 1 of the document.
Unlock all 3 pages and 3 million more documents.

Already have an account? Log in

Document Summary

3 (due thursday, february 27: in 1984, a gallup survey asked a national sample of respondents: Recently there has been a lot of talk about women"s rights. Some people feel that women should have an equal role with men in running business, industry and government. Others feel that women should not generally have equal leadership roles and that even if they want to work they should still have primary responsibility for running the home and family. Responses to this question from men and women are summarized in the following frequency distributions: Exercises on random variables and probability distributions (1) let x follow the bernoulli distribution with parameter =0. 56. Calculate e(x) and var(x). (2) let s=the number of obama supporters in a random sample of 11 voters, each of whom has a probability of =0. 6 of voting for obama. Smalltown, u. s. a. , was known for its representativeness of the whole america in presidential vote.

Get OneClass Grade+

Unlimited access to all notes and study guides.

YearlyMost Popular
75% OFF
$9.98/m
Monthly
$39.98/m
Single doc
$39.98

or

You will be charged $119.76 upfront and auto renewed at the end of each cycle. You may cancel anytime under Payment Settings. For more information, see our Terms and Privacy.
Payments are encrypted using 256-bit SSL. Powered by Stripe.