Probabilities and Statistics Best Resource

FAYEZ MATH
SERIES PROBABILITIES




BY FAYEZ ALHASAN




Best Notes covering all ideas



Best worked solutions (all ideas)




00971555492726 00971547711045 FAYEZMATH CHANNEL

, Table of Contents
Subject Pages
Notes
Counting principal 1
Permutations 1
Combinations 1
Properties of combinations 2
Binomial theorem 2
Sample space and events 2
Properties of probabilities 3
Basic probabilities 3
Playing cards probabilities 3
Dependent and independent events 4
Mutually exclusive events 4
Hints to calculate probabilities 5
Baye’s rule 6
Venn diagrams and probabilities 6
Sets and Venn diagrams 7
Random variables 8 – 10
Binomial probability distribution 11 – 12
Hypergeometric distribution 13
Poisson probability distribution 14 – 15
Tables of Poisson distribution 16 – 24

, Subject Pages
Tables of Poisson cumulative distribution 25 – 26
Normal probability distribution 27 – 28
Standard normal distribution 29
Confidence interval 30
𝑥 – values and 𝑧 – values 30
Solved problems
Counting principal 32 – 36
Permutations and Combinations 37 – 45
Binomial theorem 46 – 49
Sample space and events 50 – 56
Calculating probabilities 57 – 84
Sets and Venn diagrams 85 – 91
De Morgan’s laws 92
Mixed problems(Calculating probabilities) 93 – 121
Tables of Poisson cumulative distribution 122 – 131
Binomial probability distribution 132 – 138
Hyper geometric distribution 139 – 144
Poisson probability distribution 145 – 146
Using Tables of Poisson distribution 147 – 148
Normal probability distribution 149 – 154
Standard normal distribution 155 – 162

, Subject Pages
Confidence interval 163 – 165
x and z values 166 – 167
More on Normal and Standard normal 168 – 172
PDF and CDF for continuous random variable 173 – 177