Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axi…

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between…

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Textbook Question

Chapter 2.2, Problem 2.4E

Auto Insurance The cost of automobile insurance has become a sore subject in California because insurance rates are dependent on so many different variables, such as the city in which you live, the number of cars you insure, and the company with which you are insured. The website www.insurance.ca.gov reports the annual 2010 premium for a male, licensed for 6-8 years, who drives a Honda Accord 12,600-15,000 miles per year and has no violations or accidents.1

Chapter 2.2, Problem 2.4E, Auto Insurance The cost of automobile insurance has become a sore subject in California because
a. What is the average premium for GEICO Insurance?
b. What is the average premium for 21st Century Insurance?
c. If you were a consumer, would you be interested in the average premium cost? If not, what would you be interested in?

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Chapter 2.2, Problem 2.3E

Chapter 2.2, Problem 2.5E

Chapter 2 Solutions

Introduction to Probability and Statistics

Ch. 2.2 - You are given n=5 measurements: 0, 5, 1, 1,3. Draw...Ch. 2.2 - Prob. 2.2E Ch. 2.2 - Prob. 2.3E Ch. 2.2 - Auto Insurance The cost of automobile insurance...Ch. 2.2 - Prob. 2.5E Ch. 2.2 - Prob. 2.6E Ch. 2.2 - Prob. 2.7E Ch. 2.2 - Prob. 2.8E Ch. 2.2 - Prob. 2.9E Ch. 2.2 - Prob. 2.10E

Ch. 2.2 - Prob. 2.11E Ch. 2.2 - Prob. 2.12E Ch. 2.3 - You are given n=5 measurements: 2, 1, 1,3,5. a....Ch. 2.3 - Prob. 2.14E Ch. 2.3 - Prob. 2.15E Ch. 2.3 - Prob. 2.16E Ch. 2.3 - Prob. 2.17E Ch. 2.3 - Utility Bills in Southern CaliforniaThe monthly...Ch. 2.5 - Prob. 2.19E Ch. 2.5 - Prob. 2.20E Ch. 2.5 - A distribution of measurements is relatively...Ch. 2.5 - Prob. 2.22E Ch. 2.5 - Prob. 2.23E Ch. 2.5 - Packaging Hamburger Meat The data listed here are...Ch. 2.5 - Breathing Rates Is your breathing rate normal?...Ch. 2.5 - Prob. 2.26E Ch. 2.5 - Social Security Numbers A group of70 students were...Ch. 2.5 - Prob. 2.28E Ch. 2.5 - Prob. 2.29E Ch. 2.5 - Prob. 2.30E Ch. 2.5 - Timber Tracts To estimate the amount of lumber in...Ch. 2.5 - Prob. 2.32E Ch. 2.5 - Prob. 2.33E Ch. 2.5 - Prob. 2.34E Ch. 2.5 - Prob. 2.35E Ch. 2.5 - Prob. 2.36E Ch. 2.5 - Prob. 2.37E Ch. 2.5 - Prob. 2.38E Ch. 2.5 - Prob. 2.39E Ch. 2.7 - Prob. 2.40E Ch. 2.7 - Find the five-number summary and the IQR forthese...Ch. 2.7 - Given the following data set: 2.3, 1.0, 2.1, 6.5,...Ch. 2.7 - Given the following data set: .23, .30, .35, .41,...Ch. 2.7 - Construct a box plot for these data and...Ch. 2.7 - Construct a box plot for these data and...Ch. 2.7 - If you scored at the 69th percentile on a...Ch. 2.7 - Mercury Concentration in DolphinsEnvironmental...Ch. 2.7 - Hamburger Meat The weights (in pounds) of the 27...Ch. 2.7 - Comparing NFL Quarterbacks How does Aaron Rodgers,...Ch. 2.7 - Presidential Vetoes The set of presidential vetoes...Ch. 2.7 - Survival Times Altman and Bland report the...Ch. 2.7 - Utility Bills in Southern California, again The...Ch. 2.7 - What’s Normal? again Refer to Exercise1.67 and...Ch. 2 - Raisins The number of raisins in each of...Ch. 2 - Prob. 2.55SE Ch. 2 - Prob. 2.56SE Ch. 2 - A Recurring IIIness Refer to Exercise 1.26 and...Ch. 2 - Prob. 2.58SE Ch. 2 - Prob. 2.59SE Ch. 2 - Tuna Fish, again Refer to Exercise 2.8. Theprices...Ch. 2 - Prob. 2.61SE Ch. 2 - Chloroform According to the EPA, Chloroform, which...Ch. 2 - Prob. 2.63SE Ch. 2 - Sleep and the College Student How muchsleep do you...Ch. 2 - Prob. 2.65SE Ch. 2 - Prob. 2.66SE Ch. 2 - Polluted Seawater Petroleum pollution in seasand...Ch. 2 - Prob. 2.68SE Ch. 2 - Prob. 2.69SE Ch. 2 - Prob. 2.70SE Ch. 2 - Prob. 2.71SE Ch. 2 - Prob. 2.72SE Ch. 2 - Prob. 2.73SE Ch. 2 - Prob. 2.74SE Ch. 2 - TV Commercials The mean duration oftelevision...Ch. 2 - Prob. 2.76SE Ch. 2 - Prob. 2.77SE Ch. 2 - Prob. 2.78SE Ch. 2 - Prob. 2.79SE Ch. 2 - Prob. 2.80SE Ch. 2 - Prob. 2.81SE Ch. 2 - Prob. 2.82SE Ch. 2 - Prob. 2.83SE Ch. 2 - Prob. 2.84SE Ch. 2 - Prob. 2.85SE

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.

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Solution Summary: The author calculates the average premium for GEICO insurance, which is 2428.75. The customer is interested in the mode of data.

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