Good for intro in probability and Statistics

1. Double Integration Method : Beam Deflections

2. Topic Learning Outcomes Content/Topic Time Allotted
PRELIMS
TLO 1: Identify the methods of data collection, planning and conducting surveys
and experiments
Obtaining Data
1
TLO 2: Solve sample space and relationships among events, counting rules useful
in probability and rules of probability.
Probability 5
TLO 3: Solve random variables and their probability distributions, cumulative
distribution functions, expected values of random variables
Discrete and Continuous Random Variables, Discrete and Continuous
Probability Distribution 9
TLO 4: Solve two or random variables (Joint Probability Distribution, marginal
probability distribution, conditional probability distribution), linear functions of
random variables and general functions of random variables.
Joint Probability Distribution 3
MIDTERM
TLO 5: Solve some probability distributions for discrete random variables. Binomial, Geometric and Negative Binomial, Hypergeometric, Poisson 5
TLO 6: Solve some probability distributions for continuous random variables
Normal Distribution, Normal Approximation to the Binomial and Poisson
Distribution, Exponential Distribution
5
TLO 7: Solve sampling distribution of the sampling mean, mean and standard
deviation of the sample mean, sampling error and standard error (finite
population correction factor)
Sampling Distribution 3
TLO 8: Discuss point estimation, interval estimation, estimating the population
mean/proportion and estimating difference between two population
means/proportions
Estimation 5
FINALS
TLO 9: Discuss hypothesis testing and possible errors committed in hypothesis
testing.
The Null and Alternative Hypothesis, Type I and II errors, Basic steps in
hypothesis testing
6
TLO 10: Discuss hypothesis and significance test on the mean. One- and Two tailed test on the mean 3
TLO 11: Solve test concerning single mean (variance known/unknown), two
means (variance known/unknown and paired observations.
Single and Two Sample, Paired t-test 6
TLO 12: Discuss empirical models, regression: modeling linear relationships – the
least-squares approach, estimating the strength of linear relation, hypothesis test
in simple linear regression, prediction of new observations, adequacy of the
Simple Linear Regression and Correlation 5

3. Main Reference:
Myers, W.
Probability and
Statistics for
Engineers and
Scientists.(5th
Edition)

4. Montgomery, D.
and Runger, G.
Applied Statistics
and Probability
for Engineers.(3rd
Edition)

5. Books
•Spiegel, M. Theory and Problems of Probability.
•Parzen, E. Modern Probability Theory and
Applications.
•Miller, I. Probability and Statistics.
•Daniel, T. Business Statistics.

6. Modules
MODULE 1: Role of Statistics in Engineering
MODULE 2: Probability
MODULE 3: Random Variables and Probability Distributions
MODULE 4: Joint Probability Distribution
MODULE 5: Other Discrete Probability Distribution
MODULE 6: Other Continuous Probability Distribution
MODULE 7: Point Estimation of Parameters
MODULE 8: Tests of Hypotheses for a Single Sample
MODULE 9: Statistical Inference of Two Samples

7. WEEK TOPIC LEARNING OUTCOME
MODULE 1: Role of Statistics in Engineering
1 (June 15-19, 2020) Identify the methods of data collection, planning and conducting surveys and experiments
MODULE 2: Probability
1 (June 15-19, 2020) Solve sample space and relationships among events, counting rules useful in probability and rules of probability.
MODULE 3: Random Variables and Probability Distributions
2 (June 22-26, 2020) Solve random variables and their probability distributions, cumulative distribution functions, expected values of
random variables
June 20, 2020 : Summative Assessment: MIDTERM QUIZ 1
MODULE 4: Joint Probability Distribution
2 (June 22-26, 2020) Solve two or random variables (Joint Probability Distribution, marginal probability distribution, conditional
probability distribution), linear functions of random variables and general functions of random variables.
MODULE 5: Other Discrete Probability Distribution
3 (June 29-July 1, 2020) Solve some probability distributions for discrete random variables.
July 2, 2020 : Summative Assessment: MIDTERM QUIZ 2
July 4, 2020 : Summative Assessment: MIDTERM EXAMINATION
MODULE 6: Other Continuous Probability Distribution
4 (July 6-11, 2020) Solve some probability distributions for continuous random variables
MODULE 7: Point Estimation of Parameters
5 (July 13-17, 2020) Discuss point estimation, interval estimation, estimating the population mean/proportion and estimating
difference between two population means/proportions
July 15, 2020 : Summative Assessment: FINAL QUIZ 1
MODULE 8: Tests of Hypotheses for a Single Sample
5 (July 13-17, 2020) Discuss hypothesis and significance test on the mean.
MODULE 9: Statistical Inference of Two Samples
6 (July 20-23, 2020) Solve test concerning single mean (variance known/unknown), two means (variance known/unknown and paired
observations.
July 24, 2020 : Summative Assessment: FINAL QUIZ 2

8. Sample Homework

9. SS of Sample Discussion Video

10. A. The Google Classroom

11. Google Classroom (Browser)

12. Google Classroom (Mobile App)

13. Stream Tab
1. Class Code
- Code
required to
join the class.
2. Meet Link
- Click to attend
google meet, a
form of a video
conference.
3. Upcoming
Activities
- Click to view
list of all
upcoming
activities.
4. Announcements
- For a more
organized stream
tab, only the
instructor can post.
But students may
comment to share
their ideas on the
respective topic.
5. Comment Section
- Here is where students
may voice their reactions or
concerns about the
announcement.

14. Classwork Tab
1. Your Work
- Shows list of
activities done
and to be done.
4. Meet Link
- Click to attend
google meet, a
form of a video
conference.
2. Topics
- Some sort of a
table of contents.
Click a topic get
you there.
3. Class G-Drive
- A flash drive for
the class
containing all
uploaded
materials.
5. Activities
- Activities may vary, namely:
Module ; Videos
Homework
Quiz ; Exam
Open Forum
Practice Problems
Reference
6. Due Dates
- Date details
of the
activities.

15. Classwork Tab
6. Comment
Section
- Students may
voice out their
concerns thru
the comment
section of each
activity. Simply
click on the
topic and the
comment
section will
show.

16. People Tab
1. Teachers
- Recognized
teachers of the
class.
2. Students
- Students
enrolled in the
class.

17. References
1. Google Classroom
2. https://www.slu.edu.ph/slu-flexible-learning-
options-for-short-term-ay-2019-
2020/?fbclid=IwAR39J1cwagdGKczLA8cE0bdD5
walWdS-o9msOfPXGxFlbhUlAhLKqzJIXUQ

19. Double Integration Method : Beam Deflections

20. A. The Engineering
Method

21. The Engineering Method

24. Variability

26. Dot Diagram

28. Statistics

29. Application of Statistics

30. Sample and Population

32. Enumerative vs Analytic Studies

33. B. Engineering Data
Collection

34. Collecting Engineering Data

35. A. Retrospective Study

37. B. Observational Study

38. C. Designed Experiments

41. Mechanistic and Empirical Models

42. References
1. Probability and Statistics for Engineers and
Scientists.(5th Edition) by Myers, W.
2. Applied Statistics and Probability for
Engineers.(3rd Edition) by Montgomery, D. and
Runger, G.

43. Double Integration Method : Beam Deflections