**Course Instructor**: Qi Wang (Pronounced as*Chee Waung*)**Email**: qiwang@purdue.edu**Homepage**: http://www.stat.purdue.edu/~wang2047/**Office**: MATH G143

8/21/2017

**Course Instructor**: Qi Wang (Pronounced as*Chee Waung*)**Email**: qiwang@purdue.edu**Homepage**: http://www.stat.purdue.edu/~wang2047/**Office**: MATH G143

**Textbook**:*Introduction to Probability*by Mark Daniel Ward and Ellen Gundlach, \(1_{st}\) edition, W.H. Freeman**Course website**: http://www.stat.purdue.edu/~cfurtner/stat225- username: stat225
- psw: fall2017

- There will be
**NO**curving of individual exam grades - A student must earn a minimum of 60% on AT LEAST ONE of the 3 exams in order to pass this class.

letter_grade | percent |
---|---|

A | 90-100 |

B | 80-89 |

C | 70-79 |

D | 60-69 |

F | below 60 |

- 8 are scheduled
- Close book and close notes
- The lowest quiz will be dropped
- Make-up quiz
- Official documented University business or a documented illness
- Contact your instructor at least TWO DAYS in advance

- 5 assignments
- Due at the
**begining**of class - Late homework will
**NOT**be accepted - Must be handwritten or typed using mathematical notation.
- Each homework is worth 25 points,
**NO**homeworks are dropped.

- Two evening exams from 8:00 – 9:30 pm
- Tueday 9/26/17
- Thursday 11/2/17

- A final exam, during the day during final exam week
- Close book and close notes
- Items allowed
- pencils
- erasers
- a scientific calculator (must not have capability to do integration),
- one-page cheat sheet for mid-terms and two-page for the final,

- Show a photo ID to your instructor

- 8 1⁄2 \(\times\) 11
- Handwritten in your own writing
- Both sides
- Handing in your cheat sheet at the end of the exam is required
- Use of printed or photocopied material on a cheat sheet is prohibited and considered cheating in this course

- If you hear a fire alarm inside, proceed outside
- If you hear a siren outside, proceed inside
- Fire emergency:
- immediately suspend class, evacuate the building, and proceed outdoors
- do not use the elevator
- meet outside by fountain near John Purdue’s grave

- Tornado warning/servere weather event
- suspend class and shelter in interior hallway on \(1_{st}\) floor

- SHELTER IN PLACE
- suspend class and shelter in the classroom
- shutting the door and turning off the lights

- Probability theory is the study of randomness and all things associated with randomness

**Random Experiment**: an action whose outcome cannot be predicted with certainty beforehand - drawing a card- rolling a die
- flipping a coin

**Potential Outcome**: One specific result from a random experiment**Event**: a collection of some outcomes**empty set**\(\Phi\): no outcomes**sample space**\(S\): consists of all outcomes

- flipping a coin
- potential outcomes
- sample space
- events
- head

- roll a regular dice
- potential outcomes
- sample space
- events
- greater than 3
- get an odd number
- greater than 7

Event A is a subset of event B, written \(A \subset B\), if every outcome in A is also an outcome in B

- roll a dice:
- A: the roll is 2
- B: the roll is event number

- Probability: the proportion of times the event occurs in independent repetitions of the random experiment in the long run
- \(P(E) = \frac{|E|}{n}\)
- The probability of event E is the number of times an outcome in E occurs divided by the number of experiment repetitions

- Any individual outcome in \(S\) is equally likely to occur
- \(P(E) = \frac{|E|}{|S|}\)
- If all outcomes are equally likely, then then probability of event E is the number of outcomes in E divided by the number of outcomes in the sample space

- \(P\)(the sum is 5)
- \(P\)(the rolls are the same)
- \(P\)(the sum is even)