A committee has nine members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the probability of randomly selecting the two members who currently hold the positions of chairman and ranking member and reassigning them to their current positions? The probability is 0.0139. (Round to four decimal places as needed.) According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B A) P(A) P(B A) P (A') P (B A') P(A B)= Use Bayes' Theorem to find P(A B) using the probabilities shown below. 5 1 1 1 P(A)=6P(A) = P(B| A)= 10 , and P (B| A')- = 2 The probability of event A, given that event B has occurred, is P(A B) 0.500 (Round to the nearest thousandth as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

I got the anwers for these questions on my quiz incorrect. Can you explain how to solve correctly?

For the first I attempted to solve with 2/9 possible chances to equal .2222

For the second I just imput the values given into the formula and recived the answer 1.083

A committee has nine members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally likely to serve in
any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the probability of randomly selecting the
two members who currently hold the positions of chairman and ranking member and reassigning them to their current positions?
The probability is 0.0139.
(Round to four decimal places as needed.)
Transcribed Image Text:A committee has nine members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the probability of randomly selecting the two members who currently hold the positions of chairman and ranking member and reassigning them to their current positions? The probability is 0.0139. (Round to four decimal places as needed.)
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
P(A) P(B A)
P(A) P(B A) P (A') P (B A')
P(A B)=
Use Bayes' Theorem to find P(A B) using the probabilities shown below.
5
1
1
1
P(A)=6P(A) = P(B| A)= 10 , and P (B| A')-
=
2
The probability of event A, given that event B has occurred, is P(A B) 0.500
(Round to the nearest thousandth as needed.)
Transcribed Image Text:According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B A) P(A) P(B A) P (A') P (B A') P(A B)= Use Bayes' Theorem to find P(A B) using the probabilities shown below. 5 1 1 1 P(A)=6P(A) = P(B| A)= 10 , and P (B| A')- = 2 The probability of event A, given that event B has occurred, is P(A B) 0.500 (Round to the nearest thousandth as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman