following form will give a settling time of no more than 2 sec and an overshoot of no more than 5%. Gc(s) = K s + a s + b Obtain suitable values of K, a, and b. What happens if we try to cancel one of the poles at the origin by placing the zero very close to the origin?

ENGR 3341 Probability Theory and Statistics Prof. Gelb Week 3 homework solutions Textbook problems: Section 1.5, Problem 27: Consider a communication system. At any given time, the communication channel is in good condition with probability 0:8 and is in bad condition with probability 0:2. An error occurs in a transmission with probability 0:1 if the channel is in good condition and with probability 0:3 if the channel is in bad condition. Let G be the event that the channel is in good condition and E be the event that there is an error in transmission. (a) Complete the following tree diagram: P(EjG) P(G\E)