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).
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Answer the following statement true (T) or false (F)
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A) 27.6 k? B) 28.1 k? C) 330 ? D) 449 ?