Guide: Normal Distribution Approximation for Binomial Distribution

This report serves as a comprehensive guide to employing the normal distribution as an approximation for the binomial distribution. It begins with an executive summary, followed by an introduction that highlights the complexity of binomial probabilities with increasing variables and the utility of normal distribution approximation to circumvent this. The report then delves into the background of both normal and binomial distributions, emphasizing the role of the central limit theorem in facilitating the approximation process. It explains why and when this technique is used, detailing the criteria for sample size and the procedures involved, including the use of the continuity correction factor. The report provides step-by-step procedures, including the determination of mean, standard deviation, and probability statements, with examples and concludes by summarizing the key concepts and providing references for further study. The assignment is designed to assist students in understanding and applying the normal approximation to the binomial distribution.