Let X ~ N(0, 1). For any € > 0, show that P(|X| > c) ≤ ²c - ??

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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(a) Let X~ N(0, 1). For any € > 0, show that
(b) Suppose that X₁,..., Xn
show that
for all large n.
P(|X| > c) ≤ ²e-².
N(μ, o2), and let Xn := n¹₁ X₁. For any € > 0,
P(|Xn->
€) ≤ e¯20²
"
Transcribed Image Text:(a) Let X~ N(0, 1). For any € > 0, show that (b) Suppose that X₁,..., Xn show that for all large n. P(|X| > c) ≤ ²e-². N(μ, o2), and let Xn := n¹₁ X₁. For any € > 0, P(|Xn-> €) ≤ e¯20² "
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