Tas U 1 2 3 PU(u) 0.20 0.40 0.40 (a) Determine the mean E[U] (b) The harmonic mean of a random variable X is defined as hm[X] = 1/E[1/X]. Calculate hm[U].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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The random variable U has the following distribution:
1
2
3
U
PU(u) 0.20 0.40 0.40
(a) Determine the mean E[U]
(b) The harmonic mean of a random variable X is defined as hm[X] = 1/E[1/X].
Calculate hm[U].
Transcribed Image Text:The random variable U has the following distribution: 1 2 3 U PU(u) 0.20 0.40 0.40 (a) Determine the mean E[U] (b) The harmonic mean of a random variable X is defined as hm[X] = 1/E[1/X]. Calculate hm[U].
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