×
Log in to StudySoup
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.3 - Problem 10bsc
Join StudySoup for FREE
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.3 - Problem 10bsc

Already have an account? Login here
×
Reset your password

Identifying Binomial Distributions. In | Ch 5.3 - 10BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 10BSC Chapter 5.3

Elementary Statistics | 12th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

4 5 1 394 Reviews
27
1
Problem 10BSC

Problem  10BSC

 

Identifying Binomial Distributions. In Exercises, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at hast one requirement that is not satisfied

Surveying Senators Ten different senators are randomly selected without replacement, and the numbers of terms that they have served are recorded.

Step-by-Step Solution:
Step 1 of 3

Solution  10BSC

 

To be a binomial probability distribution, a procedure must satisfy the preceding four requirements:

1. The procedure has a fixed number of trials. Here, 10 different senators were randomly selected.

2. The trials must be independent. Here, the population consists of 83 males and 17 females, that is, population size is 100. We are given that sample is selected without replacement. They are not independent. (Since the sample size is more than 5% of the population (10% of the population). From the 5% Guideline for Cumbersome Calculations, also they are not independent.)

3. Each trial must have all outcomes classified into two categories. Here, the number of terms that they have served can be classified into more than two categories.

4. The probability of success remains the same in all trials.

Since trials are not independent and the number of terms that they have served can be classified into more than two categories, the second and third requirements are not satisfied. So, this is a distribution that cannot be treated as binomial.

Step 2 of 3

Chapter 5.3, Problem 10BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Identifying Binomial Distributions. In | Ch 5.3 - 10BSC