1.
Number of cases
§1.
Case 7
Practice Problem 1 15
2.
permutation
§1.
Permutation 17
§2.
Duplicate permutation 26
§3.
29 permutations with the same thing
§4.
Permutation 33
Practice Problem 2 36
3.
mixture
§1.
Combination 39
§2.
Duplicate combination 53
Practice Problem 3 59
4.
binomial theorem
§1.
Binomial Theorem 62
§2.
Properties of Binomial Coefficients 70
Practice Problem 4 76
5.
Definition of probability
§1.
Enforcement and Events 78
§2.
Definition of Probability 82
§3.
Geometric probability 88
Practice Problem 5 91
6.
Addition theorem of probability
§1.
Addition Theorem of Probability 94
§2.
The probability of this case is 99
Practice Problem 6 104
7.
Multiplication theorem of probability
§1.
Conditional Probability and the Multiplication Theorem of Probability 106
§2.
Independence and Dependence of Events 117
§3.
Probability of independent trial 125
Practice Problem 7 130
Comprehensive Summary of Probability 134
8.
probability distribution
§1.
Mean and standard deviation 136
§2.
Random Variables and Probability Distributions 143
§3.
Expected value (mean) and standard deviation of discrete random variables 148
§4.
Binomial distribution 160
Practice Problem 8 168
9.
Continuous random variables and normal distribution
§1.
Continuous random variables 171
§2.
Normal distribution 177
§3.
Binomial and Normal Distributions 188
Practice Problem 9 191
10.
Statistical Estimation I (Estimation of Population Mean)
§1.
Population and Sample 194
§2.
Distribution of Population and Sample Means 196
§3.
Estimation and Reliability of Population Mean 204
Practice Problem 10 210
Comprehensive Summary of Statistics 212
11.
Statistical Estimation II (Estimation of Population Proportions)
§1.
Distribution of Population and Sample Proportions 215
§2.
Estimation and reliability of the population ratio 220
Practice Problem 11 227

Practice Problem Solutions and Answers 229
Milk Solution and Answer 277
Standard Normal Distribution Table 309
Search 310