Intro Stats
4th Edition
ISBN: 9780321825278
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 34E
Parking lots A survey of autos parked in student and staff lots at a large university classified the brands by country of origin, as seen in the table.
- a) What percent of all the cars surveyed were foreign?
- b) What percent of the American cars were owned by students?
- c) What percent of the students owned American cars?
- d) What is the marginal distribution of origin?
- e) What are the conditional distributions of origin by driver classification?
- f) Do you think that the origin of the car is independent of the type of driver? Explain.
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
Chapter 2 Solutions
Intro Stats
Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - Prob. 4JCCh. 2.2 - Prob. 5JCCh. 2.2 - A statistics class reports the following data on...Ch. 2.2 - Prob. 7JCCh. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 3E
Ch. 2 - Marriage in decline Changing attitudes about...Ch. 2 - 5. Movies again The following table summarizes 348...Ch. 2 - Prob. 6ECh. 2 - Prob. 11ECh. 2 - 12. Movie ratings The pie chart shows the ratings...Ch. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 16ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 19ECh. 2 - Prob. 20ECh. 2 - Prob. 21ECh. 2 - Modalities A survey of athletic trainers asked...Ch. 2 - Prob. 23ECh. 2 - Prob. 24ECh. 2 - Prob. 25ECh. 2 - Prob. 26ECh. 2 - Prob. 27ECh. 2 - Politics Students in an Intro Stats course were...Ch. 2 - More about seniors Look again at the table of...Ch. 2 - Politics revisited Look again at the table of...Ch. 2 - Prob. 31ECh. 2 - More politics Look once more at the table...Ch. 2 - Prob. 33ECh. 2 - Parking lots A survey of autos parked in student...Ch. 2 - Weather forecasts Just how accurate are the...Ch. 2 - Prob. 36ECh. 2 - Blood pressure A company held a blood pressure...Ch. 2 - Prob. 38ECh. 2 - Prob. 39ECh. 2 - Antidepressants and bone fractures For a period of...Ch. 2 - Prob. 41ECh. 2 - Prob. 42ECh. 2 - Hospitals Most patients who undergo surgery make...Ch. 2 - Delivery service A company must decide which of...Ch. 2 - Graduate admissions A 1975 article in the magazine...Ch. 2 - Be a Simpson Can you design a Simpsons paradox?...
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