Essential Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781506386300
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 1, Problem 14CAP
To determine
To identify:
Population and sample from the given statement.
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Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and
set Var X = 0². Then, for 0 0,
P(X > x) ≤e-x+1²²
P(|X|>x) ≤2e-1x+1²²
(ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose
that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for
x > 0.
and
0x) ≤2 exp
Σ
k=1
(iii) If, in addition, X1, X2, X, are identically distributed, then
P(S|x) ≤2 expl-tx+nt²o).
Chapter 1 Solutions
Essential Statistics for the Behavioral Sciences
Ch. 1 - Prob. 1FPCh. 1 - Prob. 2FPCh. 1 - Prob. 3FPCh. 1 - Prob. 4FPCh. 1 - Prob. 5FPCh. 1 - Prob. 6FPCh. 1 - Prob. 7FPCh. 1 - Prob. 8FPCh. 1 - Prob. 9FPCh. 1 - Prob. 10FP
Ch. 1 - Prob. 11CAPCh. 1 - Prob. 12CAPCh. 1 - Prob. 13CAPCh. 1 - Prob. 14CAPCh. 1 - Prob. 15CAPCh. 1 - Prob. 16CAPCh. 1 - Prob. 17CAPCh. 1 - Prob. 18CAPCh. 1 - Prob. 19CAPCh. 1 - Prob. 20CAPCh. 1 - Prob. 21CAPCh. 1 - Prob. 22CAPCh. 1 - Prob. 23CAPCh. 1 - Prob. 24CAPCh. 1 - Prob. 25CAPCh. 1 - Prob. 26CAPCh. 1 - Prob. 27PRCh. 1 - Prob. 28PRCh. 1 - Prob. 29PRCh. 1 - Prob. 30PRCh. 1 - Prob. 31PRCh. 1 - Prob. 32PR
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