MA206  Probability & Statistics
Lesson 8:
Unnamed Continuous Distributions
1.
The West Point Club has a fantastic lunch menu.
The problem is that much of the faculty
knows that it is fantastic.
During the lunch hour, instructors move in droves to the club to
partake of this fine food.
Since there are only two cash registers, there is often a backup in the
line to pay for lunch.
Let
t
be a random variable representing the wait time (in minutes) to pay
for your food at the West Point Club.
Further, suppose that
t
is distributed according to the
following density function:
2
0
6
0.0119076
0.0396825
0.190511
/
0
t
t
t
f
t
o w
1.
What does the distribution imply about the maximum wait time?
2.
Calculate the expected wait time for a customer entering the Club at lunch time.
3.
What is the probability that a customer waits less than 2 minutes?
4.
What is the probability that a customer waits between 2 and 4 minutes?
5.
What is the median wait time?
6.
Using the appropriate plot, what is the approximate value of
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 Spring '10
 N/A
 wait time, West Point Club, randomly chosen quiz

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