A resistor and an inductor connect in a series network impede the How OI impedance Z is determined by the reactance X of the inductor and the resistance three quantities, all measured in 1, can be represented by the sides of a right The angle o is called the phase angle. Suppose a series network has an inductive and a resistance R= 20 2. 2 X 0 R (a) Find the impedance Z. b) Find the values of the six trigonometric functions of the phase angle o.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?