47 T he outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment
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47 T he outcomes of two variables are (Low, Medium, High)
and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the following table:
Consider the following events:
A: 5On6 B: 5Medium or On6 C: 5Off and Low6 D: 5High6
a. Find P ( A ).
b. Find P ( B ).
c. Find P ( C ).
d. Find P ( D ).
e. Find P1Ac2.
f. Find P1A B2.
g. Find P1A B2.
h. Consider each possible pair of events taken from the events A , B , C , and D . List the pairs of events that are mutually exclusive. Justify your choices.
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