EFSC STA 2023 MML ACCESS
6th Edition
ISBN: 9780135927885
Author: Triola
Publisher: PEARSON
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Chapter 11.2, Problem 19BSC
In Exercises 5-18, lest the given claim.
19. Car License Plates California, Connecticut, and New York are states with laws requiring that cars have license plates on the front and rear. The author randomly selected cars in those states and the results are given in the accompanying table. Use a 0.05 significance level to test the claim of independence between the state and whether a car has front and rear license plates. Does it appear that the license plate laws are followed at the same rates in the three states?
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Throughout, 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).
16. 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).
Proposition 1.1 Suppose that X1, X2,... are random variables. The following
quantities are random variables:
(a) max{X1, X2) and min(X1, X2);
(b) sup, Xn and inf, Xn;
(c) lim sup∞ X
and lim inf∞ Xn-
(d) If Xn(w) converges for (almost) every w as n→ ∞, then lim-
random variable.
→ Xn is a
Chapter 11 Solutions
EFSC STA 2023 MML ACCESS
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