a) b) c) P(X>Y+1), X-3 P(X=³

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
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Suppose that the random variables X₁,..., X and Y₁,...,Y, are random sample
from independent normal distributions N(3,8) and N(3,15), respectively.
Transcribed Image Text:Suppose that the random variables X₁,..., X and Y₁,...,Y, are random sample from independent normal distributions N(3,8) and N(3,15), respectively.
Calculate
a)
b)
c)
P(X>Y+1),
P(X=-³ <c) =(
S
a constant c such that P
standard deviation of X,
= 0.95 where S is a sample
a constant c such that P(S<c)=0.95 where S is as in (b).
[Note: Please show the derivations of all the distributions.]
Transcribed Image Text:Calculate a) b) c) P(X>Y+1), P(X=-³ <c) =( S a constant c such that P standard deviation of X, = 0.95 where S is a sample a constant c such that P(S<c)=0.95 where S is as in (b). [Note: Please show the derivations of all the distributions.]
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