The Reports and Stats section of OC Transpo reports a number of statistics regarding various aspects of its local transit services. Under “On-Time Performance”, the January – June 2016 report provides a table with all routes. For Route 96, a note explains: ”Peak direction excluded due to high frequency service”. Presumably, this means that the following information taken from the table only refers to off-peak hours:
  
Route

Over 2 mins

Early Up to 2 mins

Early On Time

Late
 
96

9%

25%

60%

7%
a) You look at the schedule and decide on which Route 96 bus to take to get to a class during offpeak hours. What is the probability of this particular bus being early? (1Pt)
b) You take this bus once each week during the term to get to class. What is the probability of this bus being on time all thirteen weeks of the semester? (2Pts)
c) What is the probability that this bus will be on time more than 4 times during the semester (3PTs)(what model should be used?)
d) Considering the entire semester, what is the expected value for busses arriving ‘on time’ ?(1Pt)
The standard deviation (2pts)? The coefficient of variation (1Pt)?