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Three students (S) and six faculty members (F) are on a

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 11E Chapter 1.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 11E

PROBLEM 11E

Three students (S) and six faculty members (F) are on a panel discussing a new college policy.

(a) In how many different ways can the nine participants be lined up at a table in the front of the auditorium?

(b) How many lineups are possible, considering only the labels S and F?

(c) For each of the nine participants, you are to decide whether the participant did a good job or a poor job stating his or her opinion of the new policy; that is, give each of the nine participants a grade of G or P.

How many different “scorecards” are possible?

Step-by-Step Solution:
Step 1 of 3

Solution 11E

Step1 of 3:

We have number of students(S) = 3

               Number of faculty members = 6

are on a panel discussing a new college policy.

We need to find,

(a) In how many different ways can the nine participants be lined up at a table in the front of the auditorium?

(b) How many lineups are possible, considering only the labels S and F?

(c) For each of the nine participants, you are to decide whether the participant did a good job or a poor job stating his or her opinion of the new policy; that is, give each of the nine participants a grade of G or P.

How many different “scorecards” are possible?

Step2 of 3:

a).

Number of students(S) = 3

Number of faculty members = 6

The number of ways can the nine participants be lined up at a table in the front of the auditorium is given by = [(Number of students(S)) + (Number of faculty members)] !

                   = (3 + 6)!

                   = 9!

                   = 362880

Therefore, There are 362880 ways can the nine participants be lined up at a table in the front of the auditorium.


b).

The possible number of line ups = 

                                             =  

                                             =

                                             =  

                                             = 84.

Therefore, there are 84 line ups are possible.


Step3 of 3:

c).

The possible number of score cards = 222222222 (one can choose either

                                                                                                                                good or bad)

                                                  =

                                                  = 512

Therefore,there are 512 number of scorecards are possible.

 

                                                                     

 

 

Step 2 of 3

Chapter 1.2, Problem 11E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This full solution covers the following key subjects: participants, job, Policy, new, lineups. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The full step-by-step solution to problem: 11E from chapter: 1.2 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. The answer to “Three students (S) and six faculty members (F) are on a panel discussing a new college policy.(a) In how many different ways can the nine participants be lined up at a table in the front of the auditorium?(b) How many lineups are possible, considering only the labels S and F?(c) For each of the nine participants, you are to decide whether the participant did a good job or a poor job stating his or her opinion of the new policy; that is, give each of the nine participants a grade of G or P.How many different “scorecards” are possible?” is broken down into a number of easy to follow steps, and 99 words. Since the solution to 11E from 1.2 chapter was answered, more than 352 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.

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