Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
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Chapter 12.6, Problem 2ACYP
To determine

To show that the distribution is valid or not.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information :

The probability distribution table of adult who play golf by age range is shown below:

  Algebra 1, Chapter 12.6, Problem 2ACYP

Proof:

A probability distribution must satisfy the following conditions:

  1. The probability of each values of the discrete random variable is between 0 and 1.
  2. The sum of all the probabilities is 1.

Condition 1:

From the table provided in the question, it can be observed that the probability of each values of adult who play golf by age range is between 0 and 1.

Condition 1:

From the table provided in the question,

The sum of all the probabilities is obtained as:

  0.13+0.18+0.21+0.19+0.12+0.17=1

So,

The sum of all the probabilities is 1.

Hence,

the distribution is valid.

[PROVED]

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Chapter 12.5, Problem 56S
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Chapter 12.6, Problem 2CCYP

Chapter 12 Solutions

Algebra 1

Ch. 12.1 - Prob. 1ACYPCh. 12.1 - Prob. 1BCYPCh. 12.1 - Prob. 2ACYPCh. 12.1 - Prob. 2BCYPCh. 12.1 - Prob. 3ACYPCh. 12.1 - Prob. 3BCYPCh. 12.1 - Prob. 3CCYPCh. 12.1 - Prob. 1CYUCh. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 3CYU
Ch. 12.1 - Prob. 4CYUCh. 12.1 - Prob. 5CYUCh. 12.1 - Prob. 6CYUCh. 12.1 - Prob. 7PPSCh. 12.1 - Prob. 8PPSCh. 12.1 - Prob. 9PPSCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21HPCh. 12.1 - Prob. 22HPCh. 12.1 - Prob. 23HPCh. 12.1 - Prob. 24HPCh. 12.1 - Prob. 25STPCh. 12.1 - Prob. 26STPCh. 12.1 - Prob. 27STPCh. 12.1 - Prob. 28STPCh. 12.1 - Prob. 29SRCh. 12.1 - Prob. 30SRCh. 12.1 - Prob. 31SRCh. 12.1 - Prob. 32SRCh. 12.1 - Prob. 33SRCh. 12.1 - Prob. 34SRCh. 12.1 - Prob. 35SRCh. 12.1 - Prob. 36SRCh. 12.1 - Prob. 37SRCh. 12.1 - Prob. 38SRCh. 12.1 - Prob. 39SRCh. 12.1 - Prob. 40SCh. 12.2 - Prob. 1ACYPCh. 12.2 - Prob. 1BCYPCh. 12.2 - Prob. 2CYPCh. 12.2 - Prob. 3CYPCh. 12.2 - Prob. 28PPSCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9CYUCh. 12.2 - Prob. 10PPSCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 33STPCh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37SRCh. 12.2 - Prob. 38SRCh. 12.2 - Prob. 39SRCh. 12.2 - Prob. 40SRCh. 12.2 - Prob. 41SRCh. 12.2 - Prob. 42SRCh. 12.2 - Prob. 43SRCh. 12.2 - Prob. 44SRCh. 12.2 - Prob. 45SRCh. 12.2 - Prob. 46SCh. 12.2 - Prob. 47SCh. 12.2 - Prob. 48SCh. 12.2 - Prob. 49SCh. 12.2 - Prob. 50SCh. 12.2 - Prob. 51SCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 1CYPCh. 12.3 - Prob. 2CYPCh. 12.3 - Prob. 3ACYPCh. 12.3 - Prob. 3BCYPCh. 12.3 - Prob. 4CYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7CYUCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27HPCh. 12.3 - Prob. 28STPCh. 12.3 - Prob. 29STPCh. 12.3 - Prob. 30STPCh. 12.3 - Prob. 31STPCh. 12.3 - Prob. 32SRCh. 12.3 - Prob. 33SRCh. 12.3 - Prob. 34SRCh. 12.3 - Prob. 35SRCh. 12.3 - Prob. 36SRCh. 12.3 - Prob. 37SCh. 12.3 - Prob. 38SCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.3 - Prob. 42SCh. 12.3 - Prob. 1MCQCh. 12.3 - Prob. 2MCQCh. 12.3 - Prob. 3MCQCh. 12.3 - Prob. 4MCQCh. 12.3 - Prob. 5MCQCh. 12.3 - Prob. 6MCQCh. 12.3 - Prob. 7MCQCh. 12.3 - Prob. 8MCQCh. 12.3 - Prob. 9MCQCh. 12.3 - Prob. 10MCQCh. 12.3 - Prob. 11MCQCh. 12.3 - Prob. 12MCQCh. 12.3 - Prob. 13MCQCh. 12.3 - Prob. 14MCQCh. 12.3 - Prob. 15MCQCh. 12.4 - Prob. 1CYPCh. 12.4 - Prob. 2CYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4CYPCh. 12.4 - Prob. 5ACYPCh. 12.4 - Prob. 5BCYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6CYUCh. 12.4 - Prob. 7CYUCh. 12.4 - Prob. 8CYUCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33PPSCh. 12.4 - Prob. 34PPSCh. 12.4 - Prob. 35HPCh. 12.4 - Prob. 36HPCh. 12.4 - Prob. 37HPCh. 12.4 - Prob. 38HPCh. 12.4 - Prob. 39HPCh. 12.4 - Prob. 40STPCh. 12.4 - Prob. 41STPCh. 12.4 - Prob. 42STPCh. 12.4 - Prob. 43STPCh. 12.4 - Prob. 44SRCh. 12.4 - Prob. 45SRCh. 12.4 - Prob. 46SRCh. 12.4 - Prob. 47SRCh. 12.4 - Prob. 48SRCh. 12.4 - Prob. 49SRCh. 12.4 - Prob. 50SRCh. 12.4 - Prob. 51SRCh. 12.4 - Prob. 52SRCh. 12.4 - Prob. 53SRCh. 12.4 - Prob. 54SRCh. 12.4 - Prob. 55SRCh. 12.4 - Prob. 56SRCh. 12.4 - Prob. 57SCh. 12.4 - Prob. 58SCh. 12.4 - Prob. 59SCh. 12.4 - Prob. 60SCh. 12.4 - Prob. 61SCh. 12.4 - Prob. 62SCh. 12.5 - Prob. 1ACYPCh. 12.5 - Prob. 1BCYPCh. 12.5 - Prob. 2ACYPCh. 12.5 - Prob. 2BCYPCh. 12.5 - Prob. 3ACYPCh. 12.5 - Prob. 3BCYPCh. 12.5 - Prob. 4CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5CYUCh. 12.5 - Prob. 6CYUCh. 12.5 - Prob. 7CYUCh. 12.5 - Prob. 8CYUCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18PPSCh. 12.5 - Prob. 19PPSCh. 12.5 - Prob. 20PPSCh. 12.5 - Prob. 21PPSCh. 12.5 - Prob. 22PPSCh. 12.5 - Prob. 23PPSCh. 12.5 - Prob. 24PPSCh. 12.5 - Prob. 25PPSCh. 12.5 - Prob. 26PPSCh. 12.5 - Prob. 27PPSCh. 12.5 - Prob. 28PPSCh. 12.5 - Prob. 29PPSCh. 12.5 - Prob. 30PPSCh. 12.5 - Prob. 31PPSCh. 12.5 - Prob. 32PPSCh. 12.5 - Prob. 33PPSCh. 12.5 - Prob. 34HPCh. 12.5 - Prob. 35HPCh. 12.5 - Prob. 36HPCh. 12.5 - Prob. 37HPCh. 12.5 - Prob. 38HPCh. 12.5 - Prob. 39STPCh. 12.5 - Prob. 40STPCh. 12.5 - Prob. 41STPCh. 12.5 - Prob. 42STPCh. 12.5 - Prob. 43SRCh. 12.5 - Prob. 44SRCh. 12.5 - Prob. 49SRCh. 12.5 - Prob. 50SRCh. 12.5 - Prob. 45SRCh. 12.5 - Prob. 46SRCh. 12.5 - Prob. 47SRCh. 12.5 - Prob. 48SRCh. 12.5 - Prob. 51SCh. 12.5 - Prob. 52SCh. 12.5 - Prob. 53SCh. 12.5 - Prob. 54SCh. 12.5 - Prob. 55SCh. 12.5 - Prob. 56SCh. 12.6 - Prob. 2ACYPCh. 12.6 - Prob. 2CCYPCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14HPCh. 12.6 - Prob. 15HPCh. 12.6 - Prob. 16HPCh. 12.6 - Prob. 17HPCh. 12.6 - Prob. 18HPCh. 12.6 - Prob. 1ACYPCh. 12.6 - Prob. 1BCYPCh. 12.6 - Prob. 2BCYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4PPSCh. 12.6 - Prob. 5PPSCh. 12.6 - Prob. 6PPSCh. 12.6 - Prob. 7PPSCh. 12.6 - Prob. 8PPSCh. 12.6 - Prob. 9PPSCh. 12.6 - Prob. 19STPCh. 12.6 - Prob. 20STPCh. 12.6 - Prob. 21STPCh. 12.6 - Prob. 22STPCh. 12.6 - Prob. 23SRCh. 12.6 - Prob. 24SRCh. 12.6 - Prob. 25SRCh. 12.6 - Prob. 26SRCh. 12.6 - Prob. 27SRCh. 12.6 - Prob. 28SRCh. 12.6 - Prob. 29SRCh. 12.6 - Prob. 30SRCh. 12.6 - Prob. 31SRCh. 12.6 - Prob. 32SRCh. 12.6 - Prob. 33SRCh. 12.6 - Prob. 34SRCh. 12.6 - Prob. 35SCh. 12.6 - Prob. 36SCh. 12.6 - Prob. 37SCh. 12.7 - Prob. 30SRCh. 12.7 - Prob. 31SRCh. 12.7 - Prob. 32SRCh. 12.7 - Prob. 33SRCh. 12.7 - Prob. 34SRCh. 12.7 - Prob. 35SRCh. 12.7 - Prob. 36SRCh. 12.7 - Prob. 37SRCh. 12.7 - Prob. 38SRCh. 12.7 - Prob. 39SRCh. 12.7 - Prob. 1CYPCh. 12.7 - Prob. 2ACYPCh. 12.7 - Prob. 2BCYPCh. 12.7 - Prob. 3ACYPCh. 12.7 - Prob. 3BCYPCh. 12.7 - Prob. 3CCYPCh. 12.7 - Prob. 3DCYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5PPSCh. 12.7 - Prob. 6PPSCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15HPCh. 12.7 - Prob. 16HPCh. 12.7 - Prob. 17HPCh. 12.7 - Prob. 18HPCh. 12.7 - Prob. 19HPCh. 12.7 - Prob. 20STPCh. 12.7 - Prob. 21STPCh. 12.7 - Prob. 22STPCh. 12.7 - Prob. 23STPCh. 12.7 - Prob. 24SRCh. 12.7 - Prob. 25SRCh. 12.7 - Prob. 26SRCh. 12.7 - Prob. 27SRCh. 12.7 - Prob. 28SRCh. 12.7 - Prob. 29SRCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 14QCCh. 12 - Prob. 15QCCh. 12 - Prob. 16QCCh. 12 - Prob. 17QCCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STPCh. 12 - Prob. 14STPCh. 12 - Prob. 15STPCh. 12 - Prob. 16STPCh. 12 - Prob. 17STPCh. 12 - Prob. 18STP

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