TMA 4: Analytical Methods for Engineers - Statistics and Probability

This document presents a comprehensive solution to a statistics and probability assignment tailored for engineering students. The solution begins with calculating the arithmetic mean and standard deviation from a frequency distribution table, followed by a probability analysis using a tree diagram to determine probabilities of defective components from different companies. It then delves into the application of the normal distribution to calculate probabilities related to the length of strips, and concludes with a regression analysis of diameter vs. torque, including a scatter diagram, calculation of the line of best fit, and the coefficient of correlation. The document provides step-by-step calculations and explanations, making it a valuable resource for students studying analytical methods for engineers.