No. 2 2. If X-N(u-3, ²-2). Find the distribution of the following: C. V = 2-4X 5

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 20SBE
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How to answer the question from the first picture using the corolarry in the second picture?
No. 2
2. If X-N(u-3, -2). Find the distribution of the following:
V=²-4X
C. V=
Transcribed Image Text:No. 2 2. If X-N(u-3, -2). Find the distribution of the following: V=²-4X C. V=
Corollary.
Proof:
X-H
If X-N(μ, o²) then Z=: is normally distributed with mean
σ
O and variance 1.
Z = ax + b where a=1/o and b--wo. Thus Z is normally
distributed with μ = μ/o-o = 0 and ² = (1/0)²o² = 1.
Transcribed Image Text:Corollary. Proof: X-H If X-N(μ, o²) then Z=: is normally distributed with mean σ O and variance 1. Z = ax + b where a=1/o and b--wo. Thus Z is normally distributed with μ = μ/o-o = 0 and ² = (1/0)²o² = 1.
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