Homework Help is Here – Start Your Trial Now!
Math
Statistics
ix-sided dice ommon valu

ix-sided dice ommon valu

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

Hello can you please help me with this problem because I don't understand it and i don't understand the parts as well can you please do this step by step and can you label the parts as well.

 

Can you please do this step by step and can you label the parts as well.

2.1-7. Let a random experiment be the casting of a pair of fair six-sided dice and let X equal the smaller of the outcomes if they are different and the common value if they are equal. a. With reasonable assumptions, find the pmf of X. b. Draw a probability histogram of the pmf of X. c. Let Y equal the range of the two outcomes (i.e., the absolute value of the difference of the largest and the smallest outcomes). Determine the pmf g(y) of Y for y = 0, 1, 2, 3, 4, 5.
Transcribed Image Text:2.1-7. Let a random experiment be the casting of a pair of fair six-sided dice and let X equal the smaller of the outcomes if they are different and the common value if they are equal. a. With reasonable assumptions, find the pmf of X. b. Draw a probability histogram of the pmf of X. c. Let Y equal the range of the two outcomes (i.e., the absolute value of the difference of the largest and the smallest outcomes). Determine the pmf g(y) of Y for y = 0, 1, 2, 3, 4, 5.
Expert Solution
Step 1: The sample space of rolling two fair dice with equal to sign shows the minimum:
Consider a random experiment, be the roll of two fair six-sided dice, and consider Error converting from MathML to accessible text. to be the minimum of the two outcomes, the corresponding probability is determined using probability distribution.


The sample space of rolling two fair dice with equal to sign shows the minimum:


In the sample space, there are 36 possible outcomes. As a result, here is the X diagram:

 here as there are total 36 outcome by xasting two dice.

P(X=1) =11/36    (as 1 will be least outcome ; 11 time it appear at least once out of 36 rolls)

P(X=2) =9/36   ( except with 1, it is the least outcome)


The sample space of rolling two fair dice with equal to sign shows the minimum:

image
In the sample space, there are 36 possible outcomes. As a result, here is the X diagram:


P(X=3)=7/36

P(X=4) =5/36

P(X=5)=3/36

P(X=6) =1/36



steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE 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
SEE MORE TEXTBOOKS