Explanation The event “ A ”is defined as that Julie is offered a job at the Connecticut Office of the Chief Medical Examiner, event “ B ”is defined as that Julie is offered a job at the New Jersey Division of Criminal Justice, and event “ C ”is defined as that Julie is offered a job at the federal Disaster Mortuary Operations Response Team. The probabilities are providedas P ( A ) = 0.7 , P ( B ) = 0.5 , and P ( C ) = 0.3 . The joint probabilities for the following events are calculated as follows: P ( A and B ) = P ( A and B but not C ) = P ( A ∩ B ∩ C c ) = 0.3 P ( A and C ) = P ( A and C but not B ) = P ( A ∩ B C ∩ C ) = 0

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card

8th Edition

ISBN: 9781464158933

Author: David S. Moore, George P. McCabe, Bruce A. Craig

Publisher: W. H. Freeman

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Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

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Chapter 4.5, Problem 122E

To determine

To graph: The Venn diagram of the events A, B, and C.

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Chapter 4 Solutions

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card

Ch. 4.1 - Prob. 1UYK Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.2 - Prob. 10UYK

Ch. 4.2 - Prob. 11UYK Ch. 4.2 - Prob. 12UYK Ch. 4.2 - Prob. 13UYK Ch. 4.2 - Prob. 14UYK Ch. 4.2 - Prob. 15UYK Ch. 4.2 - Prob. 16UYK Ch. 4.2 - Prob. 17UYK Ch. 4.2 - Prob. 18UYK Ch. 4.2 - Prob. 19E Ch. 4.2 - Prob. 20E Ch. 4.2 - Prob. 21E Ch. 4.2 - Prob. 22E Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - Prob. 25E Ch. 4.2 - Prob. 26E Ch. 4.2 - Prob. 27E Ch. 4.2 - Prob. 28E Ch. 4.2 - Prob. 29E Ch. 4.2 - Prob. 30E Ch. 4.2 - Prob. 31E Ch. 4.2 - Prob. 32E Ch. 4.2 - Prob. 33E Ch. 4.2 - Prob. 34E Ch. 4.2 - Prob. 35E Ch. 4.2 - Prob. 36E Ch. 4.2 - Prob. 37E Ch. 4.2 - Prob. 38E Ch. 4.2 - Prob. 39E Ch. 4.2 - Prob. 40E Ch. 4.2 - Prob. 41E Ch. 4.2 - Prob. 42E Ch. 4.2 - Prob. 43E Ch. 4.2 - Prob. 44E Ch. 4.2 - Prob. 45E Ch. 4.3 - Prob. 46UYK Ch. 4.3 - Prob. 47UYK Ch. 4.3 - Prob. 48UYK Ch. 4.3 - Prob. 49E Ch. 4.3 - Prob. 50E Ch. 4.3 - Prob. 51E Ch. 4.3 - Prob. 52E Ch. 4.3 - Prob. 53E Ch. 4.3 - Prob. 54E Ch. 4.3 - Prob. 55E Ch. 4.3 - Prob. 56E Ch. 4.3 - Prob. 57E Ch. 4.3 - Prob. 58E Ch. 4.3 - Prob. 59E Ch. 4.3 - Prob. 60E Ch. 4.3 - Prob. 61E Ch. 4.3 - Prob. 62E Ch. 4.3 - Prob. 63E Ch. 4.3 - Prob. 64E Ch. 4.3 - Prob. 65E Ch. 4.3 - Prob. 66E Ch. 4.4 - Prob. 66UYK Ch. 4.4 - Prob. 67UYK Ch. 4.4 - Prob. 68UYK Ch. 4.4 - Prob. 69UYK Ch. 4.4 - Prob. 70UYK Ch. 4.4 - Prob. 71UYK Ch. 4.4 - Prob. 72E Ch. 4.4 - Prob. 73E Ch. 4.4 - Prob. 74E Ch. 4.4 - Prob. 75E Ch. 4.4 - Prob. 76E Ch. 4.4 - Prob. 77E Ch. 4.4 - Prob. 78E Ch. 4.4 - Prob. 79E Ch. 4.4 - Prob. 80E Ch. 4.4 - Prob. 81E Ch. 4.4 - Prob. 82E Ch. 4.4 - Prob. 83E Ch. 4.4 - Prob. 84E Ch. 4.4 - Prob. 85E Ch. 4.4 - Prob. 86E Ch. 4.4 - Prob. 87E Ch. 4.4 - Prob. 88E Ch. 4.4 - Prob. 89E Ch. 4.4 - Prob. 90E Ch. 4.4 - Prob. 91E Ch. 4.4 - Prob. 92E Ch. 4.4 - Prob. 93E Ch. 4.4 - Prob. 94E Ch. 4.5 - Prob. 95UYK Ch. 4.5 - Prob. 96UYK Ch. 4.5 - Prob. 97UYK Ch. 4.5 - Prob. 98UYK Ch. 4.5 - Prob. 99UYK Ch. 4.5 - Prob. 100UYK Ch. 4.5 - Prob. 101UYK Ch. 4.5 - Prob. 102E Ch. 4.5 - Prob. 103E Ch. 4.5 - Prob. 104E Ch. 4.5 - Prob. 105E Ch. 4.5 - Prob. 106E Ch. 4.5 - Prob. 107E Ch. 4.5 - Prob. 108E Ch. 4.5 - Prob. 109E Ch. 4.5 - Prob. 110E Ch. 4.5 - Prob. 111E Ch. 4.5 - Prob. 112E Ch. 4.5 - Prob. 113E Ch. 4.5 - Prob. 114E Ch. 4.5 - Prob. 115E Ch. 4.5 - Prob. 116E Ch. 4.5 - Prob. 117E Ch. 4.5 - Prob. 118E Ch. 4.5 - Prob. 119E Ch. 4.5 - Prob. 120E Ch. 4.5 - Prob. 121E Ch. 4.5 - Prob. 122E Ch. 4.5 - Prob. 123E Ch. 4.5 - Prob. 124E Ch. 4.5 - Prob. 125E Ch. 4.5 - Prob. 126E Ch. 4.5 - Prob. 127E Ch. 4.5 - Prob. 128E Ch. 4.5 - Prob. 129E Ch. 4.5 - Prob. 130E Ch. 4.5 - Prob. 131E Ch. 4 - Prob. 132E Ch. 4 - Prob. 133E Ch. 4 - Prob. 134E Ch. 4 - Prob. 135E Ch. 4 - Prob. 136E Ch. 4 - Prob. 137E Ch. 4 - Prob. 138E Ch. 4 - Prob. 139E Ch. 4 - Prob. 140E Ch. 4 - Prob. 141E Ch. 4 - Prob. 142E Ch. 4 - Prob. 143E Ch. 4 - Prob. 144E Ch. 4 - Prob. 145E Ch. 4 - Prob. 146E Ch. 4 - Prob. 147E Ch. 4 - Prob. 148E Ch. 4 - Prob. 149E Ch. 4 - Prob. 150E Ch. 4 - Prob. 151E Ch. 4 - Prob. 152E

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If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
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.
Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5 red eggs and 7 yellow eggs

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To graph: The Venn diagram of the events A, B, and C.

Solution Summary: The author explains the Venn diagram of the events A, B, and C. The joint probabilities for the three events are written as follows:

Concept explainers

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To graph: The Venn diagram of the events A, B, and C.

Chapter 4 Solutions