2nd Edition

ISBN: 9781337128629

Author: Camm

Publisher: CENGAGE L

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Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

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Textbook Question

Chapter 5, Problem 33P

Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.

a. The process standard deviation is 0.15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.
b. Through process design improvements, the process standard deviation can be reduced to 0.05. Assume that the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects.
c. What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

Chapter 5 Solutions

ESSEN OF BUSINESS ANALYTICS (LL) BOM

Ch. 5 - On-time arrivals, lost baggage, and customer...Ch. 5 - Consider the random experiment of rolling a pair...Ch. 5 - Suppose that for a recent admissions class, an Ivy...Ch. 5 - Suppose that we have two events, A and B, with...Ch. 5 - Students taking the Graduate Management Admissions...Ch. 5 - More than 40 million Americans are estimated to...Ch. 5 - The Human Resources Manager for Optilytics LLC is...Ch. 5 - As was discussed in the Analytics in Action from...Ch. 5 - Cooper Realty is a small real estate company...Ch. 5 - Prob. 10P

Ch. 5 - A local bank reviewed its credit-card policy with...Ch. 5 - RunningWithTheDevil.com created a web site to...Ch. 5 - An oil company purchased an option on land in...Ch. 5 - Suppose the following data represent the number of...Ch. 5 - The percent frequency distributions of job...Ch. 5 - The following table provides a probability...Ch. 5 - The probability distribution for damage claims...Ch. 5 - The J.R. Ryland Computer Company is considering a...Ch. 5 - Prob. 19P Ch. 5 - Many companies use a quality control technique...Ch. 5 - Consider a Poisson distribution with . Write the...Ch. 5 - Emergency 911 calls to a small municipality in...Ch. 5 - A regional director responsible for business...Ch. 5 - The random variable x is known to be uniformly...Ch. 5 - Prob. 26P Ch. 5 - Suppose we are interested in bidding on a piece of...Ch. 5 - Prob. 28P Ch. 5 - The Siler Construction Company is about to bid on...Ch. 5 - Suppose that the return for a particular large-cap...Ch. 5 - A person must score in the upper 2% of the...Ch. 5 - Assume that the traffic to the web site of Smileys...Ch. 5 - Suppose that Motorola uses the normal distribution...Ch. 5 - Prob. 34P Ch. 5 - Prob. 35P Ch. 5 - Suppose that the time spent by players in a single...

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Solution Summary: The author calculates the probability of a defect and the expected number of defects for 1,000 unit production runs using EXCEL software.

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Chapter 5 Solutions