Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q. 108 (page 227)

Use the information in the Table3.19to answer the next eight exercises. The table shows the political party affiliation of each of localid="1649516803996" 67members of the US Senate In June localid="1649516807155" 2012. and when they are up freelection.

The events "Other" and "Up for reelection in November localid="1649516811372" 2016' are

a. mutually exclusive.

b. independent.

c. both mutually exclusive and independent.

d. neither mutually exclusive nor independent

Short Answer

Expert verified

In November 2016, the events Other and Up for reelection are mutually exclusive.

As a result, mutually exclusive is the correct answer.

Step by step solution

01

Given

The table shows the political party affiliation of each of 67members of the US Senate In June 2012. and when they are up reelection.

02

Finding the probability of event Other and Is up for reelection in 2016

The total as:

Events A and B are mutually exclusive if the probability of event AAND Bequals 0.

Finding the probability of event Other and Is up for reelection in 2016:

P=067=0

Thus, we can conclude that events are mutually exclusive.

If events A and B are mutually exclusive, then they cannot be independent. That is because, if they are mutually exclusive, they cannot happen at the same time. If we know that B happened, then we immediately know that A didn't. Thus:

P(A∣B)=0≠P(A)

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

In a box of assorted cookies, 36%contain chocolate and 12%contain nuts. Of those, 8%contain both chocolate and nuts. Sean is allergic to both chocolate and nuts.

a. Find the probability that a cookie contains chocolate or nuts (he can't eat it).

b. Find the probability that a cookie does not contain chocolate or nuts (he can eat it).

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?

a. Yes, because P(hit by Hank Aaron | hit is a double) =P(hit by Hank Aaron)

b. No, because P(hit by Hank Aaron | hit is a double) ≠P(hit is a double)

c. No, because P(hit is by Hank Aaron | hit is a double) ≠P(hit by Hank Aaron)

d. Yes, because P(hit is by Hank Aaron | hit is a double) =P(hit is a double)

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:

a. P(U AND V)

b. P(U|V)

c. P(U OR V)

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(L OR C).

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

Find the probability that an Emotional Health Index Score is more than 81?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

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.

Sign-up for free