Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 1, Problem 15SE
SECTION EXERCISES
Older Siblings (Example 3) At a small four-year college, some psychology students were asked whether or not they had at least one older sibling. The table shows the results for men and women and shows some of the totals.
a. Calculate the totals that are not shown, and report them in the table.
b. What percentage of the men had an older sibling?
c. What percentage of the men did not have an older sibling?
d. What percentage of the women had an older sibling?
e. What percentage of the people had an older sibling?
f. What percentage of the people with an older sibling were women?
g. Suppose that in a group of 600 women, the percentage who have an older sibling is the same as in the sample here. How many of the 600 women would have an older sibling?
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17. Suppose that X1, X2,..., Xn are random variables, such that E|xk| < ∞ for
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2015
15. This problem extends Problem 20.6. Let X, Y be random variables with finite
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Chapter 1 Solutions
Introductory Statistics (2nd Edition)
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- 2. Which of the following statements are (not) true? lim sup{An U Bn} 818 lim sup{A, B} 818 lim inf{An U Bn} 818 818 lim inf{A, B} An An A, Bn- A, BnB →B = = = lim sup A, U lim sup Bn; 818 818 lim sup A, lim sup Bn; 818 81U lim inf A, U lim inf Bn; 818 818 lim inf A, lim inf Bn; n→X 818 An U BRAUB as no; An OBRANB as n→∞.arrow_forwardThroughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2. 1. Show that AAB (ANB) U (BA) = (AUB) (AB), Α' Δ Β = Α Δ Β, {A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).arrow_forward16. Show that, if X and Y are independent random variables, such that E|X|< ∞, and B is an arbitrary Borel set, then EXI{Y B} = EX P(YE B).arrow_forward
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