12th Edition

ISBN: 9780321837936

Author: Mario F. Triola

Publisher: PEARSON

Concept explainers

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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Textbook Question

Chapter 5.2, Problem 21BSC

Car Failures. In Exercises 19-22, refer to the accompanying table, which describes results of roadworthiness tests of Ford Focus cars that are 3 years old (based on data from the Department of Transportation). The random variable x represents the number of cars that failed among six that were tested for roadworthiness.

21. Using Probabilities for Unusual Events

a. Find the probability of getting exactly three cars that fail among six cars tested.
b. Find the probability of getting three or more cars that fail among six cars tested.
c. Which probability is relevant for determining whether three is an unusually high number of failures among six cars tested: the result from part (a) or part (b)?
d. Is three an unusually high number of failures? Why or why not?

X	P(X)
0	0.377
1	0 399
2	0.176
3	0.041
4	0.005
5	0+
6	0+

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Chapter 5.2, Problem 20BSC

Chapter 5.2, Problem 22BSC

Chapter 5 Solutions

Elementary Statistics

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Solution Summary: The author explains how the probability of getting exactly 3 cars that fail among six cars is 0.041.

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