Q9 A Sample X1, X2, ..., X25 is randomly selected from a population that is N(H= 30, o = 100). Another independent random sample Y1,Y2,...,Y16 is selected randomly from a population that has N(u1= 40, o= 80). Let X be the average of the first sample and Y be the average of the second sample. Find P(Y> X +7) %3D %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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Q9 A Sample X1, X2, ..., X25 is randomly selected from a population that is
N( Hi = 30, o? = 100). Another independent random sample Y1,Y2,...,Y16 is
selected randomly from a population that has N(u= 40, o? = 80). Let X be the
average of the first sample and Y be the average of the second sample. Find
P(Y>X +7)
%3D
%3D
A)0.1587
B) 0.0228 C) 0.8413 D) 0.9772 E)0.9987
Transcribed Image Text:Q9 A Sample X1, X2, ..., X25 is randomly selected from a population that is N( Hi = 30, o? = 100). Another independent random sample Y1,Y2,...,Y16 is selected randomly from a population that has N(u= 40, o? = 80). Let X be the average of the first sample and Y be the average of the second sample. Find P(Y>X +7) %3D %3D A)0.1587 B) 0.0228 C) 0.8413 D) 0.9772 E)0.9987
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