A “vote taker” logic circuit forces its output to agree with a majority of its inputs. Such a circuit is shown in Figure P13.31 for the three voters, A, B, and C. Write the logic expression for the output of this circuit in terms of its inputs. Also create a truth table for the output in terms of the inputs.
Analysis:
The truth table can be obtained from the circuit considering the steps X1, X2, X3 and F, as shown in the
figure.
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A box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with the first card being replaced before the second card is drawn. Let X represent the number on the first card, and let Y represent the number on the second card.
a. Find the joint probability mass function of X and Y.
b. Find the marginal probability mass functions 
(x) and 
(y).
c. Find 
and 
.
d. Find 
.
e. Find Cov(X, Y).
The maximum flow capacity of a turbo compressor is called "choke."
Answer the following statement true (T) or false (F)
When the thermostat calls for second stage heat on an air source heat pump with electric resistance auxiliary heat
A) The heat pump keeps operating and the electric resistance heat is added B) The electric strip heat shuts off and the heat pump is energized in heating C) The heat pump shuts down and the electric strip heat comes on D) The electric strip heat remains on and the heat pump is energized for additional heat
If a 5.5 k?, 22 k? and 500 ? resistor are connected in parallel, what is RT?
A) 27.6 k? B) 28.1 k? C) 330 ? D) 449 ?