Problem 1 Imagine that recently you attended your Electrical Engineering lab. The purpose of this lab w measure the resistance of 10 different resistors, and then calculate what percentage of resistors were within specifications. Similar to many aspects of the real world, even though a resistor is supposed to have a given value, due to a myriad of circumstances, they are generally not perfect. So, resistor nm will often include an acceptable range the resistors can have. In this case, the manufacturers specification says that the resistors should be within the range 180 1% ohm. To make your life easier, you decided to use MATLAB to solve this problem. (a) Utilizing the manufacturers specifications listed above, find the maximum and minimum values the resistors can be to be determined "in specification"; these will be the theoretical maximum and minimum values. (Make sure to put the percentage as a decimal) (b) Using the functions that you explored in the lecture, generate a 1x10 vector of 10 random numbers between 178 and 182 ohms and name it M; this will simulate the taking of measurements. Then use the array to calculate the mean and standard deviation of this set of data. Make sure to suppress the vector created, and the mean and standard deviation computations. (c) Using the equations below, find the percentage of resistors within specification. You can leave the percentage as a decimal -er % of Resistors in Specifications Where: Theoretical mazmean Theoretical min- mean and Z=-standard deviation standard deviation Make sure to suppress all of your answers for this part except for the final calculated percentage. (Hint: erf is a MATLAB function, that takes a real number as its input. It takes the form erf(x) when used in MATLAB, where x is the number you want to evaluate. If want more information, search MATLAB documentation for erf, or type in doc erf into the command window (d) Using the percentage found in part (e), find the number of resistors you could expect to be within specification for a batch of 1,000. Make sure to create a variable specifying the number of resistors (batch). Round this value to the nearest whole integer. Suppress al values for this part except for our final rounded