DESCRIPTION

Students:  Please keep in mind the OMSI rules.  Save your files often,
make sure OMSI fills your entire screen at all times, etc.  Remember
that clicking CopyQtoA will copy the entire question box to the answer
box.

In questions involving code which will PARTIALLY be given to you in the
question specs, you may need add new lines.  There may not be
information given as to where the lines should be inserted.

If a question includes test code, make sure to include it in your
submission.

Do not answer any question with simulation code unless this is specified.

MAKE SURE TO RUN THE CODE IN PROBLEMS INVOLVING CODE!  Hit the OMSI
Submit and Run button.

QUESTION -ext .R -run 'Rscript ./omsi_answer1.R'

(R code answer, 25 pts.)  On p.115, find p_18,20, the probability of
going from state 18 to state 20.

print(              )

QUESTION

(Text answer, 25 pts.)  At the bottom of p.114, it mentions
recycling.  What specific object is recycled in this case?

QUESTION -ext .R -run 'Rscript ./omsi_answer3.R'

(R code answer, 25 pts.)  A bank opens at 10 a.m., and N customers
arrive in the next 15 minutes, where N has a Poisson distribution with
mean 4.2.  The first 3 customers, if any, will get an ice cream coupon
worth $4; the next 2, if any, will receive a $1 coupon. Find the
expected total payout T.  E.g. if just 2 customers come in, T = 2 X 4 =
8, while if 5 come in, T = 3 X 4 + 2 X 1 = 14.

print(              )

QUESTION -ext .R -run 'Rscript ./omsi_answer4.R'

(R code answer, 25 pts.)  Consider the inventory model, p.117, with
v = 0.6, w = 0.4 and r = 5.  Find the long-run average amount of stock,
measured at the start of each day.

print(              )