Problem 97SE

Let X1, X2, . . . , Xn be independent χ 2-distributed random variables, each with 1 df. Define Y as

b A machine in a heavy-equipment factory produces steel rods of length Y, where Y is a normally distributed random variable with mean 6 inches and variance .2. The cost C of repairing a rod that is not exactly 6 inches in length is proportional to the square of the error and is given, in dollars, by C = 4(Y − μ)2. If 50 rods with independent lengths are produced in a given day, approximate the probability that the total cost for repairs for that day exceeds $48.

Class: Livestock Growth and Development (ADS 3213) Term: Fall 2018 Instructor: Dr. Derris D. Burnett First Day of Class Beginning of Class: • Class started out with the introduction of the instructor and what he expected from his students this term. Start of Lecture: • What is Growth o This is when the size of the animal increases • What is Development o This is when the shape of the animal changes • How do these concepts overlap o They both deal with finding out the maturity of an animal along with its worth • Is size the main goal from any livestock o No because having an animal that is too large could lead to problems such as: ▪ Health risk