Eseerise 5 (a) Prove that au is om isomoyihism y preserves ele ment's order, that is. 1ylasl= lal (6) Fix an element a in a p(x)=aza pis an isomorphism G>G. (c) Prove that I81=laba1 Va,BEG CG is a G. and define group xE G. Prove that group).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Modern Algebra:
![Eseerise 5 (a) Prove that au
preserves element's order that is
(8) Fix au element a in a
isomoyihisme y
. Ip(a)l- lal.
G. and define
p(x)%3Daxa" p is an
isomorphism G
ograup
OXEG. Prove that
-2G
1-
acd
(c) Prave that 181=labal V a, be G
Prove
CGisa group).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffba66248-862a-43fb-91b6-16cc301cecb0%2Ff31539b0-267c-482d-a359-ab80a87700b7%2Fbd8x48_processed.jpeg&w=3840&q=75)
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