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PROBABILITY AND STATISTICS BY ENGR. JORGE P. BAUTISTA
COURSE OUTLINE ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Text and References ,[object Object],[object Object],[object Object]
Introduction to Statistics ,[object Object],[object Object],[object Object]
General uses of Statistics ,[object Object],[object Object]
Examples on the role of Statistics ,[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object]
Fields of Statistics ,[object Object],[object Object],[object Object]
con’t ,[object Object]
Descriptive VS Inferential ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Population as Differrentiated from Sample ,[object Object]
The Variable ,[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object]
Con’t ,[object Object],[object Object]
Con’t ,[object Object]
Assignment no. 1 ,[object Object],[object Object],[object Object]
Con’t ,[object Object]
Examples of Scales of Measurement ,[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object]
Data Collection Methods ,[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object]
Tabular Representation ,[object Object]
Frequency of a Nominal Data Male and Female College students Major in Chemistry SEX FREQUENCY MALE 23 FEMALE 107 TOTAL 130
Frequency of Ordinal Data Ex. Frequency distribution of Employee Perception on the Behavior of their Administrators Perception Frequency Strongly favorable 10 favorable 11 Slightly favorable 12 Slightly unfavorable 14 Unfavorable 22 Strongly unfavorable 31 total 100
Frequency Distribution Table ,[object Object],[object Object],[object Object],[object Object]
Grouped Frequency of Interval Data ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object]
Graphical Representation ,[object Object],[object Object]
Con’t ,[object Object]
Given the bar graph of how students rate their library. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Histogram of Person’s Age with Frequency of Travel age freq RF 19-20 20 39.2% 21-22 21 41.2% 23-24 4 7.8% 25-26 4 7.8% 27-28 2 3.9% total 51 100%
Exercises ,[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object]
Con’t
Con’t
Con’t
Assignment No. 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object]
Measures of Centrality and Location ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Exercises  ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
 
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Exercises ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Exercises  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
Exercises  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment no. 3 ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Measure of Variation ,[object Object],[object Object],[object Object],[object Object]
Semi-inter Quartile Range ,[object Object],[object Object],[object Object],[object Object]
Average Deviation ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variance ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
Standard Deviation ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment no. 4 ,[object Object],[object Object]
SIMPLE LINEAR REGRESSION AND MEASURES OF CORRELATION ,[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
Measures of Correlation ,[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Correlation between Ordinal Data ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Gamma Rank Order ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Given a segment of the Filipino Electorate according to religion and political party LAKAS LP NP Total Catholic 50 25 20 INC 34 72 21 Born Again 22 12 10 Total
Correlation between Nominal Data ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment no. 5 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3.  Compute for the gamma shown and interpret the result  Socio-economic status EDUCATIONAL STATUS TOTAL UPPER MIDDLE LOWER TOTAL UPPER 24 19 5 MIDDLE 12 54 29 LOWER 9 26 25 TOTAL
[object Object]
Counting Techniques ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Permutation  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object]
Combination  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment no. 6 ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
Probability ,[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Conditional Probability and Multiplication Rule ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Assignment no. 7 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
Normal Distribution ,[object Object]
Con’t ,[object Object]
Con’t ,[object Object],[object Object]
Con’t ,[object Object],[object Object]
Con’t ,[object Object],[object Object]
Con’t ,[object Object],[object Object]
The normal probability curve
From the previous curve ,[object Object],[object Object],[object Object]
To illustrate the significance of the empirical rule, consider the NCEE scores of students in a certain college whose mean score x’ or  μ  = 65 and the standard deviation  σ  or SD = 6 ,[object Object],[object Object],[object Object]
The Standard Score ,[object Object],[object Object]
Normal Curve Areas ,[object Object],[object Object],[object Object],[object Object],[object Object]
Normal Probability Distribution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment no. 8 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Con’t ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]

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Probability and statistics(assign 7 and 8)

  • 1. PROBABILITY AND STATISTICS BY ENGR. JORGE P. BAUTISTA
  • 2.
  • 3.
  • 4.
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  • 6.
  • 7.
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  • 21.
  • 22.
  • 23.
  • 24. Frequency of a Nominal Data Male and Female College students Major in Chemistry SEX FREQUENCY MALE 23 FEMALE 107 TOTAL 130
  • 25. Frequency of Ordinal Data Ex. Frequency distribution of Employee Perception on the Behavior of their Administrators Perception Frequency Strongly favorable 10 favorable 11 Slightly favorable 12 Slightly unfavorable 14 Unfavorable 22 Strongly unfavorable 31 total 100
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34. The Histogram of Person’s Age with Frequency of Travel age freq RF 19-20 20 39.2% 21-22 21 41.2% 23-24 4 7.8% 25-26 4 7.8% 27-28 2 3.9% total 51 100%
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  • 98.
  • 99.
  • 100.
  • 101. Given a segment of the Filipino Electorate according to religion and political party LAKAS LP NP Total Catholic 50 25 20 INC 34 72 21 Born Again 22 12 10 Total
  • 102.
  • 103.
  • 104.
  • 105.
  • 106. 3. Compute for the gamma shown and interpret the result Socio-economic status EDUCATIONAL STATUS TOTAL UPPER MIDDLE LOWER TOTAL UPPER 24 19 5 MIDDLE 12 54 29 LOWER 9 26 25 TOTAL
  • 107.
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