(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? O 1, 2, 3, 4, 5, 6; not equally likely O 0, 1, 2, 3, 4, 5, 6; equally likely O 0, 1, 2, 3, 4, 5, 6; not equally likely O 1, 2, 3, 4, 5, 6; equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Outcome Probability 1 5 6 Do the probabilities add up to 1? Should they add up to 1? Explain. Yes, but they should not because these values do not cover the entire sample space. O Yes, because these values cover the entire sample space. O No, because these values do not cover the entire sample space. O No, but they should because these values cover the entire sample space. (c) What is the probability of getting a number less than 5 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 3 or 4 on a single throw? (Enter your answer as a fraction.)

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
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes
equally likely?
1, 2, 3, 4, 5, 6; not equally likely
0, 1, 2, 3, 4, 5, 6; equally likely
0, 1, 2, 3, 4, 5, 6; not equally likely
O 1, 2, 3, 4, 5, 6; equally likely
(b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.)
Outcome
Probability
1
3
4
Do the probabilities add up to 1? Should they add up to 1? Explain.
Yes, but they should not because these values do not cover the entire sample space.
Yes, because these values cover the entire sample space.
No, because these values do not cover the entire sample space.
No, but they should because these values cover the entire sample space.
(c) What is the probability of getting a number less than 5 on a single throw? (Enter your answer as a fraction.)
(d) What is the probability of getting 3 or 4 on a single throw? (Enter your answer as a fraction.)
Transcribed Image Text:(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? 1, 2, 3, 4, 5, 6; not equally likely 0, 1, 2, 3, 4, 5, 6; equally likely 0, 1, 2, 3, 4, 5, 6; not equally likely O 1, 2, 3, 4, 5, 6; equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Outcome Probability 1 3 4 Do the probabilities add up to 1? Should they add up to 1? Explain. Yes, but they should not because these values do not cover the entire sample space. Yes, because these values cover the entire sample space. No, because these values do not cover the entire sample space. No, but they should because these values cover the entire sample space. (c) What is the probability of getting a number less than 5 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 3 or 4 on a single throw? (Enter your answer as a fraction.)
Expert Solution
Step 1

When a single die roll, the sample space is given by

S = {1,2,3,4,5,6}

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
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