Defining Functions in MATLAB: A rectifier is a device that allows current to flow in one direction, but not the other. Mathematically, a (positive half-wave) rectifier can be represented by the piecewise function 560) - {% izo Write a MATLAB function called rectify (1) to simulate this device. 4. Plotting Basic Signals: Write a MATLAB script to plot the sinusoidal voltage i(t) = 7cos (2011) for 0 st 0.5 s. On the same graph, use the results of the previous problem to plot the signal that results when i(t) is rectified. Be sure to label your axes and add a legend.

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?