Infants born at the Hershey Medical Center are placed in an incubator if they ar
ID: 3020827 • Letter: I
Question
Infants born at the Hershey Medical Center are placed in an incubator if they are unable to maintain their body temperature naturally. You observe the next four births at the Hershey Medical Center and record whether they are placed in an incubator soon after birth or not.
a) Define the sample space.
b) Let A = the event that one or two babies are placed in an incubator. Let B be the event that at least one baby is placed in an incubator. In words, what is i) AB? ii) AcB? iii) AcBc? iv) Use part iii to find AUB.
Explanation / Answer
a.)
N = event the baby is not put in an incubator
P = event the baby is put in an incubator
Sample space is the possible events of the four babies being put in an incubator.
Sample space S =
{ PPPP PNPP NPPP NNPP PPPN PNPN NPPN NNPN
PPNP PNNP NPNP NNNP PPNN PNNN NPNN NNNN }
b.)
i.) AB is the event one or two babies are placed in the incubator.
ii.) AcB is the event that three or four babies are put in an incubator
iii.) AcBc is the event that no baby is placed in an incubator
AUB = 1 - AcBc