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Summary The normal distribution

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Comprehensive A-level statistics notes, featuring clear explanations, practical examples, key formulas, visual aids, and concise summaries of essential concepts.

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July 26, 2024
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The normal distribution




N M 02

µ mean
0 standard deviation

Calculator

mfh.TN rmalPDCPCx 7
Pia x 71
83 TEs Erma a s 3
Normal PD
when finding exact values

Normal CD
when finding cumulative probabilities adding probabilities in a
certain region

P x 7

I O
40000

Inverse normal
when finding the number we are testing for
Pix a
eamaustwnbne.tn
1neg calculator


a M

, The standard normal

Z N 0 12

2 1

for tested variable
coding
F anodard
normal to find these values

Example I

NCM 42
given that P x 30 0.1 find µ

using standard normal a us

Z N 0 12 2
PC2 21 0.1
h
µ
Inverse normal to calculate 2

2 1.2815
2


1.2815
3041
µ 24 9 35ft

Example 2

N 70 02

given that PCX 641 0.02275 find 0


using standard normal

2 N 0 12
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