Probabtility and Statisics

Course Information

College Toyama College Year 2020
Course Title Probabtility and Statisics
Course Code 0067 Course Category General / Elective
Class Format Lecture Credits School Credit: 1
Department Department of Electronics and Computer Engineering Student Grade 3rd
Term First Semester Classes per Week 2
Textbook and/or Teaching Materials 高遠節夫 他 著,『新 確率統計』,大日本図書,2013年
Instructor Nakagawa Yoshihiko

Course Objectives

Students understand the concept of probability and can calculate simple probabilities.
Students can treat descriptive statistics appropriately for given data.
Students understand the concepts of random variables and probability distributions and can be applied to simple statistical problems.

Rubric

Ideal Level of Achievement (Very Good)Standard Level of Achievement (Good)Unacceptable Level of Achievement (Fail)
Evaluation 1Students can understand how to calculate the probability of a trial event that can assume similar certainty.Students can understand the basic nature of probability.Students can't understand the basic nature of probability.
Evaluation 2Students can understand and calculate the meaning of basic statistics.Students can calculate the meaning of basic statistics.Students can't calculate the meaning of basic statistics.
Evaluation 3Students understand the concepts of random variables and their probability distributions and can apply them to basic statistical problems.Students can understand the concepts of random variables.Students can't understand the concepts of random variables.

Assigned Department Objectives

MCCコア科目   See Hide
ディプロマポリシー 3 See Hide

Teaching Method

Outline:
First, we give lectures on the definition of probability and its calculation method.
Next, we will present the meaning and calculation of basic statistics.
Finally, we give a lecture on the concept of probability distribution of random variables.
Style:
Lectures and exercises by the teacher alone
Notice:
Those who do not have a score of 60 can take the certification test upon request.

Course Plan

Theme Goals
1st Semester
1st Quarter
1st Guidance
Probability
Students understand the definition of probabilities and their properties.
2nd Probability Students can calculate elementary probabilities.
3rd Probability Students can understand conditional probabilities and multiplication theorems and use them to calculate probabilities.
4th Probability Students can understand Bayesian theorem and use them to calculate probabilities.
5th Deta reduction Students can calculate the representative value and the scattering of one-dimensional data.
6th Deta reduction Students can calculate the representative value and the scattering of one-dimensional data.
7th Deta reduction Students can calculate covariance, correlation coefficient, etc. of two-dimensional data.
8th Intermediate examination We do the test to confirm the students' level of understanding.
2nd Quarter
9th Random variables and probability distributions Students can determine the probability distribution of given random variables and their mean and dispersion.
10th Random variables and probability distributions Students can determine the probability, mean, dispersion etc. of a random variables according to the binomial distribution.
11th Random variables and probability distributions Students can determine the probability, mean, dispersion etc. of a random variablse according to the poisson distribution.
12th Random variables and probability distributions Students can determine the probability, mean, dispersion etc. of a continuous random variables.
13th Random variables and probability distributions Students can find probabilities for random variables according to the standard normal distribution and can can convert the probability for a random variable following a normal distribution to that for a random variable following a standard normal distribution.
14th Random variables and probability distributions Students can approximate the probability for a random variable according to the binomial distribution with that for a normally distributed random variable.
15th Final exam We do the test to confirm the students' level of understanding.
16th Explanation of final exam I will explain the items that are considered to be poorly understood by students in the final exam.

Evaluation Method and Weight (%)

ExaminationPresentationMutual Evaluations between studentsBehaviorPortfolioOtherTotal
Subtotal70000030100
Basic Ability5000002070
Technical Ability2000001030
Interdisciplinary Ability0000000