(a) A stick of length 1 meter is broken into two pieces at a randomly chosen point on the stick. What is the probability that no piece is longer than 3? b) Let X be a discrete random variable with finite range. Prove that if Var[X] = 0, then X must be constant.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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2. (a) A stick of length 1 meter is broken into two pieces at a randomly
chosen point on the stick. What is the probability that no piece
is longer than 3?
(b) Let X be a discrete random variable with finite range. Prove that
if Var[X] = 0, then X must be constant.
Transcribed Image Text:2. (a) A stick of length 1 meter is broken into two pieces at a randomly chosen point on the stick. What is the probability that no piece is longer than 3? (b) Let X be a discrete random variable with finite range. Prove that if Var[X] = 0, then X must be constant.
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