21) One local hospital has just enough space and funds currently available to start either
a cancer or heart research lab. If administration decides on the cancer lab, there is a 20
percent chance of getting $100,000 in outside funding from the American Cancer
Society next year, and an 80 percent chance of getting nothing. If the cancer research
lab is funded the first year, no additional outside funding will be available the second
year. However, if it is not funded the first year, then management estimates the chances
are 50 percent it will get $100,000 the following year, and 50 percent that it will get
nothing again. If, however, the hospital’s management decides to go with the heart lab,
then there is a 50 percent chance of getting $50,000 in outside funding from the
American Heart Association the first year and a 50 percent change of getting nothing. If
the heart lab is funded the first year, management estimates a 40 percent chance of
getting another $50,000 and a 60 percent chance of getting nothing additional the
second year. If it is not funded the first year, then management estimates a 60 percent
chance for getting $50,000 and a 40 percent chance for getting nothing in the following
year. For both the cancer and heart research labs, no further possible funding is
anticipated beyond the first two years.
What is the probability that the heart lab will be funded in both the first and second
years?
A..4
B..3
C..2
D..1
E.0
22) The local operations manager for the Internal Revenue Service must decide whether
to hire one, two, or three temporary tax examiners for the upcoming tax season. She
estimates that net revenues (in thousands of dollars) will vary with how well taxpayers
comply with the new tax code just passed by Congress, as follows:
If she uses the Laplace criterion, how many new examiners will she decide to hire?
A.one
B.two
C.three
D.either one or two
E.either two or three