The course has two main goals. To acquire a working knowledge of basic
a) discrete and continuous probability: probability spaces, random variables, probability distributions, and some basic limit theorems,
b) descriptive and inferential statistics: sampling, data description, sample statistics, estimators, confidence intervals, and hypothesis testing.
a) discrete and continuous probability: probability spaces, random variables, probability distributions, and some basic limit theorems,
b) descriptive and inferential statistics: sampling, data description, sample statistics, estimators, confidence intervals, and hypothesis testing.
Curriculum
Canali
teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. NB. During the COVID-19 emergency the exams will take place according to the indications contained given in art.1 del Decreto Rettorale n°. 703 del 5 maggio 2020Canali
teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. NB. During the COVID-19 emergency the exams will take place according to the indications contained given in art.1 del Decreto Rettorale n°. 703 del 5 maggio 2020Canali
teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. NB. During the COVID-19 emergency the exams will take place according to the indications contained given in art.1 del Decreto Rettorale n°. 703 del 5 maggio 2020Canali
teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. teacher profile teaching materials
Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Programme
Chapter and section numbers are taken from the basic textbook S. Ross "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS"Cap. 1: 1.1, 1.2, 1.3
Cap. 2: 2.2, 2.2.1, 2.2.2, 2.3, 2.3.1, 2.3.2, 2.4, 2.5, 2.6
Cap. 3: 3.1, 3.2, 3.3, 3.4, 3.5, 3.5.1, 3.6, 3.7, 3.8
Cap. 4: 4.1, 4.2, 4.3, 4.3.1, 4.3.2, 4.3.3, 4.4, 4.5, 4.5.1, 4.6, 4.7, 4.9
Cap. 5: 5.1, 5.2, 5.4, 5.5, 5.6, 5.6.1, 5.7, 5.8.1., 5.8.2.
Cap. 6: 6.1, 6.2, 6.3, 6.3.1, 6.3.2, 6.4, 6.5, 6.5.1, 6.5.2
Cap. 7: 7.1, 7.2, 7.3, 7.3.1, 7.3.2, 7.4, 7.5, 7.7
Cap. 8: 8.1, 8.2, 8.3, 8.3.1, 8.3.2, 8.4.1, 8.6,
Cap. 9: 9.1, 9.2, 9.3, 9.6
Cap. 11: 11.1, 11.2, 11.4 (for this part you may also look at chapters 6.4, 6.5 of the book (in Italian) "Moduli di matematica e statistica con uso di R" di S. Invernizzi, M. Rinaldi e F. Comoglio).
Core Documentation
- Sheldon Ross NTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS- "Moduli di matematica e statistica" di S. Invernizzi, M. Rinaldi e F. Comoglio, ed. Zanichelli.
additional reference: Luca Leuzzi, Enzo Marinari, Giorgio Parisi
CALCOLO DELLE PROBABILITÀ: un trattatello per principianti volenterosi
Type of delivery of the course
Standard lecture including several examples and exercisesAttendance
OptionalType of evaluation
Evaluations are via written exam. The typical exam contains 5-6 questions with a couple of questions of a more theoretical character. Each question carries a certain number of points whose total is slightly above 30 pts. NB. During the COVID-19 emergency the exams will take place according to the indications contained given in art.1 del Decreto Rettorale n°. 703 del 5 maggio 2020