QUESTION 4 Let X be a random variable and Z = be a function of X. a) Show that X has meanµ and variance o? where Z~N(0, 1), b) Determine the parameters for X if P(X > 80)= 0.05 and P(X < 50)=0.10. c) If P(60 < X < k) = 0.5771, find k. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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QUESTION 4
X - H
Let X be a random variable and Z =
be a function of X.
a) Show that X has mean µ and variance o where Z~N(0, 1),
b) Determine the parameters for X if P(X > 80)= 0.05 and P(X < 50)=0.10.
c) If P(60 < X < k) = 0.5771, find k.
%3D
Transcribed Image Text:QUESTION 4 X - H Let X be a random variable and Z = be a function of X. a) Show that X has mean µ and variance o where Z~N(0, 1), b) Determine the parameters for X if P(X > 80)= 0.05 and P(X < 50)=0.10. c) If P(60 < X < k) = 0.5771, find k. %3D
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