Question:

Buses arrive at a bus station with i.i.d. interarrival times following an exponential distribution with intensity ?. Alice arrives at the bus station at a deterministic time t. a. (4pts) What is the expected waiting time for Alice until next bus comes? b. (6pts) Let ? be the time when the last bus arrived before time t. Show that t ? ? follows an exponential distribution with parameter ?. c. (6pts) Show that the expected interarrival time between the last bus which arrived before time t and the first bus which arrives after time t is 2 ? . Explain why it is different from the general expected interarrival time 1 ? .

Define statistics Choose the correct answer bolow, O A. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw a conclusion and answer questions, In addition, statistics is about providing a measure of confidence in an congusions. Q)B. Statistics encompasses all scientific disciplines in which random occurrences are analyzed. In addition, statistics references any random occurrence which is reported using percentages or proportions. (Q) C. Statistics encompasses all scientific disciplines in which percentages are used, data are analyzed, and probabilities are found. In addition, statistics references any mathematical model which is reported us. percentages or proportions, O D. Statistics is the sdenon of manipulating, reorganizing, and editing information to produce the desired results, In addition, statistics is about providing the requited answer with the desired level of confidenon.ap 1 & 2 HWQ - Data Collection - Page 1.2 Define DESCRIPTIVE statistics: School Define: INFERENTIAL statistics 1.3. INFERENTIAL STATISTICS Describe the five Elements (PVSIR) 1) Population of Interest . 2) Variable (s) to be investigated variables? 3) Sample - 4) Inference cion of 5) Reliability butno of each any on a city 1.5. Define QUANTITATIVE DATA - Define QUALITATIVE DATA 1.7. A SAMPLE 1. 8. A REPRESENTATIVE SAMPLE