/*! 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} Q3.11 In a basket ball arena聽鈥� 70% ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q3.11 (page 187)

In a basket ball arena

鈥� 70% of the fans are rooting for the home team.

鈥� 25% of the fans are wearing blue.

鈥� 20% of the fans are wearing blue and are rooting for the away team.

鈥� Of the fans rooting for the away team, 67% are wearing blue.

Let A be the event that a fan is rooting for the away team.

Let B be the event that a fan is wearing blue.

Are the events of rooting for the away team and wearing blue independent? Are they mutually exclusive?

Short Answer

Expert verified

Events of rooting away for away team & wearing blue are neither independent, nor mutually exclusive.

Step by step solution

01

Basics 

Mutually exclusive Events are those which cannot occur simultaneously, like getting both a head & a tail at single toss of a fair die

Independent Events are those, in which occurrence or non occurrence of an event doesn't effect the occurrence or probability dynamics of the other event. Eg : Probability of happy mood of two unrelated people.

02

Explanation 

Event A - Hooting for away team, & event B - wearing blue : are not mutually exclusive, as they can occur at the same time. Since of the fans hooting for away team, 67% are wearing blue, so there are people who are hooting for away team & also wearing blue.

Event A - Hooting for away team, & event B - wearing blue : are not independent, as event A effects the occurrence of event B, since people wearing blue are 67% among those hooting for away team itself.

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

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?

Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street.

鈥�P(I)=0.44andP(F)=0.56

鈥� role="math" localid="1652098516712" P(I鈭�F)=0because Mark will take only one route to work.

What is the probability of P(IORF)?

1994, the U.S. government held a lottery to issue 55000Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5million people who entered this lottery. Let G = won green card.

a. What was Renate鈥檚 chance of winning a Green Card? Write your answer as a probability statement.

b. In the summer of 1994, Renate received a letter stating she was one of 110,000finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate鈥檚 chance of winning a Green Card? Write your answer as a conditional probability statement. Let F = was a finalist.

c. Are G andF independent or dependent events? Justify your answer numerically and also explain why.

d. Are G and F mutually exclusive events? Justify your answer numerically and explain why.

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: 鈥� 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.

In words, what is L AND 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.

If all occupations are equally likely for a certain individual, what is the probability that he or she will have an occupation with lower than averageEHIS?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

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.