23. Suppose {An} are events. (a) If for each k show (d) Show iff 8 n-l EP(An (A) = 00, n=k i=k (b) What is the relevance to the Borel Zero-One Law? (c) Is it enough to assume P(lim sup An) = 1. 88 8 n=1 n-1 PO P(A₁4₁) = ∞o? i=1 P (lim sup An) = 1 81x 8 Σ P(AAn) = 00 n=1 for all events A such that P(A) > 0.
23. Suppose {An} are events. (a) If for each k show (d) Show iff 8 n-l EP(An (A) = 00, n=k i=k (b) What is the relevance to the Borel Zero-One Law? (c) Is it enough to assume P(lim sup An) = 1. 88 8 n=1 n-1 PO P(A₁4₁) = ∞o? i=1 P (lim sup An) = 1 81x 8 Σ P(AAn) = 00 n=1 for all events A such that P(A) > 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
Related questions
Question
![23. Suppose (An) are events.
(a) If for each k
show
(d) Show
iff
8
n=k
(b) What is the relevance to the Borel Zero-One Law?
(c) Is it enough to assume
n-l
P(A₂A) = ∞,
i=k
P (lim sup An) = 1.
848
n=1
n-1
P(A₂A) = ∞o?
i=1
P
P (lim sup An) = 1
818
8
ΣP(AA,) = ∞o
n=1
for all events A such that P(A) > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16aa7a12-30e4-45df-a2c2-f421265916f0%2F25e15882-c583-4a41-98fd-f0506697a181%2F3pxc36e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23. Suppose (An) are events.
(a) If for each k
show
(d) Show
iff
8
n=k
(b) What is the relevance to the Borel Zero-One Law?
(c) Is it enough to assume
n-l
P(A₂A) = ∞,
i=k
P (lim sup An) = 1.
848
n=1
n-1
P(A₂A) = ∞o?
i=1
P
P (lim sup An) = 1
818
8
ΣP(AA,) = ∞o
n=1
for all events A such that P(A) > 0.
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