In each of the situations, choose whether or not the given assignment of probabilities to individual outcomes is legitimate. Remember, a legitimate model need not be a practically reasonable model. If the assignment is not legitimate, choose the correct reason for your answer. (a) Roll a six-sided die and record the count of spots on the up-face: P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3, P(5) = 1/6, P(6) = 0. This is not a legitimate model because you cannot have a probabiltiy of 0. This is not a legitimate model because one of the probabilities is greater than 1. This is a legitimate model.

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
Topic Video
Question

Please Help!!

In each of the situations, choose whether or not the given assignment of probabilities to individual outcomes is
legitimate. Remember, a legitimate model need not be a practically reasonable model. If the assignment is not legitimate,
choose the correct reason for your answer.
(a) Roll a six-sided die and record the count of spots on the up-face:
P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3, P(5) = 1/6, P(6) = 0.
This is not a legitimate model because you cannot have a probabiltiy of 0.
This is not a legitimate model because one of the probabilities is greater than 1.
This is a legitimate model.
O This is not a legitimate model because the sum of the probabilities does not equal 1.
Transcribed Image Text:In each of the situations, choose whether or not the given assignment of probabilities to individual outcomes is legitimate. Remember, a legitimate model need not be a practically reasonable model. If the assignment is not legitimate, choose the correct reason for your answer. (a) Roll a six-sided die and record the count of spots on the up-face: P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3, P(5) = 1/6, P(6) = 0. This is not a legitimate model because you cannot have a probabiltiy of 0. This is not a legitimate model because one of the probabilities is greater than 1. This is a legitimate model. O This is not a legitimate model because the sum of the probabilities does not equal 1.
(b) Deal a card from a shuffled deck:
P(clubs) =
12/52, P(diamonds)
12/52, P(hearts) = 12/52, P(spades)
= 16/52.
This is a legitimate model.
This is not a legitimate model because the sum of the probabilities does not equal 1.
This is not a legitimate model because one of the probabilities is greater than 1.
This is not a legitimate model because you also need to consider the probability of the face cards.
(c) Choose a college student at random and record sex and enrollment status:
P(female full-time) = 0.56, P(female part-time) = 0.24, P(male full-time) = 0.44, P(male part-time) = 0.17.
This is a legitimate model.
This is not a legitimate model because you cannot combine the probability of sex and enrollment status.
This is not a legitimate model because one of the probabilities is greater than 1.
O This is not a legitimate model because the sum of the probabilities is greater than 1.
Transcribed Image Text:(b) Deal a card from a shuffled deck: P(clubs) = 12/52, P(diamonds) 12/52, P(hearts) = 12/52, P(spades) = 16/52. This is a legitimate model. This is not a legitimate model because the sum of the probabilities does not equal 1. This is not a legitimate model because one of the probabilities is greater than 1. This is not a legitimate model because you also need to consider the probability of the face cards. (c) Choose a college student at random and record sex and enrollment status: P(female full-time) = 0.56, P(female part-time) = 0.24, P(male full-time) = 0.44, P(male part-time) = 0.17. This is a legitimate model. This is not a legitimate model because you cannot combine the probability of sex and enrollment status. This is not a legitimate model because one of the probabilities is greater than 1. O This is not a legitimate model because the sum of the probabilities is greater than 1.
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
Research Design Formulation
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