Probability and Statistics

Course Information

College	Anan College	Year	2024
Course Title	Probability and Statistics
Course Code	1514A01	Course Category	Specialized / Compulsory
Class Format	Lecture	Credits	Academic Credit: 2
Department	Course of Information Engineering	Student Grade	4th
Term	First Semester	Classes per Week	前期:2
Textbook and/or Teaching Materials	Shin Kakuritsu-tokei Kaiteiban, Dainihon Tosho
Instructor	Sugino Ryuzaburo

Course Objectives

1. We can compute the basic computation of the fundamentals of statistic processes.
2. We can understand basic properties and get the conditional probability and Bay's estimation.
3. We can make a solution of mean value, variance and standard deviation of basic probability distributions.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
Achievement 1	We can compute the basic computation of the fundamentals of statistic processes and apply these for the various problems.	We can compute the basic computation of the fundamentals of statistic processes.	We can compute the basic computation of the elementary statistic processes.
Achievement 2	We can understand basic properties and get the conditional probability and Bay's estimation and apply these for the various problems.	We can understand basic properties and get the conditional probability and Bay's estimation.	We can understand basic properties and get the elementaries of conditional probability and Bay's estimation.
Achievement 3	We can make a solution of mean value, variance and standard deviation of basic probability distributions and apply these for the various problems.	We can make a solution of mean value, variance and standard deviation of basic probability distributions.	We can make a solution of mean value, variance and standard deviation of elementary probability distributions.

Assigned Department Objectives

学習・教育到達度目標 B-2 （数学に関する知識を用いて問題解決に取り組める。）

Teaching Method

Outline:

We are to make a concentration for our class and use the knowledges and techniques about undergraduate mathematics to construction of understanding of the probability and statistics.

Style:

Our class is construction of the next three phases.
1. Review the important facts from the previous class.
2. Lecture about the new section.
3. Short exercises.

Notice:

Please make a good preparation and self-review.
You will build up the good style to do homework of the previous class.
*Mastery of this course is required to complete the Mathematical and Data Science and AI Education Program (Literacy)

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	Analyzing the data of one-dimensional variable	We can understand and explain of frequency distribution and its measures of center.
		2nd	Analyzing the data of one-dimensional variable	We can understand and explain of its distribution bias and the dispersion.
		3rd	Analyzing the data of one-dimensional variable	We can understand and explain of its distribution bias and the dispersion.
		4th	Analyzing the data of two-dimensional variables	We can understand and explain of its distribution scatter plot bias and the regression line.
		5th	Analyzing the data of two-dimensional variables	We can understand and explain of its distribution co-variance and the correlation coefficient.
		6th	Analyzing the data of two-dimensional variables	We can understand and explain of its distribution co-variance and the correlation coefficient.
		7th	The properties of probability	We can understand and explain of the definition of probability and the number of cases.
		8th	The properties of probability	We can understand and explain of its probability theorems of the addition and multiplication .
	2nd Quarter
		9th	The properties of probability	We can understand and explain of its probability theorems of the addition and multiplication .
		10th	Mid-term examination
		11th	The probability variables and its probability distributions	We can understand and explain of the discrete variables and binomial distribution.
		12th	The probability variables and its probability distributions	We can understand and explain of the continuous variables and normal distribution.
		13th	The probability variables and its probability distributions	We can understand and explain of the continuous variables and normal distribution.
		14th	The fundamentals of statistic	We can understand and explain of the statistics and sampling distribution.
		15th	Final examination
		16th

Evaluation Method and Weight (%)

	Examination	Presentation	Mutual Evaluations between students	Behavior	Portfolio	Other	Total
Subtotal	60	0	0	0	40	0	100
Basic Proficiency	30	0	0	0	20	0	50
Specialized Proficiency	20	0	0	0	15	0	35
Cross Area Proficiency	10	0	0	0	5	0	15