Consider a router connecting an input link to an output link. This router has a buffer where it can store packets that are waiting to be transmitted on the output link. After monitoring this router for some time, it was found that: packets arrive to the router on average at a rate of 200 packets/sec there is on average 25 packets in the router including the packet being transmitted. the average time a packet spends in the buffer is 85 msec a) What is the average total delay experienced by a packet in this system, assuming there is no packet loss? b) What is the output link transmission rate in packets/sec?

Show that (p ∧ q) → r and (p → r) ∧ (q → r) are not logically equivalent, without using truth tables.

Dissect NP and P, then provide concrete instances to show how they vary in use.

We can acquire the complement of a DFA by swapping accept and non-accept states. Explain whether this method succeeds to build a TM complement. If yes, describe how; if no, explain why and suggest a TM supplement strategy.

1) Create a truth table and check whether the statement is a tautology or contradiction(?∨~?)↔~(~?∧?)

Show that (p ∧ q) → r and (p → r) ∧ (q → r) are not logically equivalent, without using truth tables.

Find ALL of the errors in the following formula calculation: p, q, r, ¬p, T, (q → r), ((~p) ^ (q → r)), (((~p) ^ (q → r)) ▼ 1), 1 □ a. I needs to be listed before any well-formed formulae with connectives since it is an atomic formula b. T is not used in the formula calculation so shouldn't be listed O c. I needs to be listed before (((-p) ^ (q → r)) V l) O d. brackets missing around -p Oe. Missing brackets in ((-p) ^ (q→ r))

Given the following premises: (1) ∀x (R(x) → S(x))(2) ¬S(c) Use modus tollens to derive the conclusion ¬R(c). Show your step-by-step reasoning.

What is the Feasibility Conditions and the Greedy Construction

In order to minimize an FA, you have to try and determine if any of the states are actually the same state. You can do this by a table a table and finally by tables that shaped table All the results are stored in a nifty "stair step" that prevents any state from being compared to