/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q8 Sobriety Checkpoint When the aut... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q8 (page 156)

Sobriety Checkpoint When the author observed a sobriety checkpoint conducted by the Dutchess County Sheriff Department, he saw that 676 drivers were screened and 6 were arrested for driving while intoxicated. Based on those results, we can estimate that PI= 0.00888, where I denotes the event of screening a driver and getting someone who is intoxicated. What doesPI炉 denote, and what is its value?

Short Answer

Expert verified

PI炉represents screening a driver who is not intoxicated. Its value is equal to 0.99112.

Step by step solution

01

Given information

The probability of screening a driver who is intoxicated is denoted by PIand is equal to 0.00888.

02

Define complementary events

Let E be an event. Then, represents the event 鈥渘ot E.鈥�

E炉is called thecomplementof E and vice-versa.

The below property is followed by two complementary events:

PE+PE炉=1

03

Define and compute the probability of a complementary event

Let I be the event of screening a driver who is intoxicated.

Therefore, I炉is the event of all outcomes that are not included in event I.

Thus, the probability of the complement of the event I is expressed as follows:

PI炉=1-PI=1-0.00888=0.991

Thus,PN炉 is equal to 0.991.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

At Least One. In Exercises 5鈥�12, find the probability.

Births in the United States In the United States, the true probability of a baby being a boy is 0.512 (based on the data available at this writing). Among the next six randomly selected births in the United States, what is the probability that at least one of them is a girl?

Rule of Complements When randomly selecting an adult, let B represent the event of randomly selecting someone with type B blood. Write a sentence describing what the rule of complements is telling us:PBorB炉=1

In Exercises 21鈥�24, use these results from the 鈥�1-Panel-THC鈥� test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false negative results. (Hint: Construct a table similar to Table 4-1, which is included with the Chapter Problem.)

Testing for Marijuana Use If one of the test subjects is randomly selected, find the probability that the subject tested negative or used marijuana.

Probability from a Sample Space. In Exercises 33鈥�36, use the given sample space or construct the required sample space to find the indicated probability.

Four Children Exercise 33 lists the sample space for a couple having three children. After identifying the sample space for a couple having four children, find the probability of getting three girls and one boy (in any order).

At Least One. In Exercises 5鈥�12, find the probability.

Wi-Fi Based on a poll conducted through the e-edition of USA Today, 67% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.