课程名称︰机率
课程性质︰必修
课程教师︰刘长远／林守德
开课学院：电资
开课系所︰资工
考试日期（年月日）︰2016/04/18
考试时限（分钟）：180
试题 :
Probability Midterm
2016/4/18
14:20~17:20
Prof: Cheng-Yuan Liou
***All work must be explained***
***In grading the exam, considerably more weight will be given to the
formulation of an expression (i.e. to setting up a fraction or setting up an
integral) than to the evaluation of that expression (i.e. integral).***
1. (10%) Mary and Tom park their cars in an empty parking lot that consists
of N parking spaces in a row. Assume that each possible pair of parking
locations is equally likely. Calculate the probability that the parking
spaces they select are at most 2 apart (that is, at most one empty space
between them).
2. (10%) Out of the students in a class, 60% are geniuses, 70% love
chocolate, and 40% fall into both categories. Determine the probability
that a randomly selected student is niether a genius nor a chocolate
lover.
3. (40%) Assume that every gasoline filling station in Cambridge is open
each day for a single, continuous, two-hour period. The opening times,
t for all stations are identically distributed, mutually independent
random variables with the PDF:
ft(t0)↑
│
K │