EECS 391/491: PROBLEM SET #7
Reading:
Problem 7.1 [20 points]
Problem 13.6 of R&N.
Problem 7.2 [20 points]
Problem 13.8 of R&N. Formulate your answer in terms of the random
variables T (the test is positive) and D (you have the disease).
Problem 7.3 [20 points]
Problem 13.12 of R&N. In "making up a value" for P(S | not M), you
can calculate it from the data given or choose the value 0.05.
Problem 7.4 [20 points]
Problem 13.15 of R&N. The relevant aspects of the world to consider
are the two random variables, B (the taxi was blue)
and LB (the taxi looked blue). Since all taxis are either
blue or green, you may consider "not B" to represent green.
Problem 7.5 [20 points]
Problem 13.19 of R&N. Note there are (15 choose 3) ways to completely assign
the pits and each are equally likely. In re-calculating the (conditional)
probabilities,
you have to count the number of complete assignments in which Pi,j
is true and false given the partial information that is known.
Problem 7G.1 [20 points]
Problem 13.16 of R&N.
Author: Michael S. Branicky