Exercise 3 If we increase the number of replicates to 1000, then we will encounter a larger percentage of possible values for p at frequencies proportional to their probabilities of occurrence. By plotting these replicates in a histogram, we can start to visualize the probability distribution of p. The code below provides an example with sample size = 10. Alter the plot so that the color is red, the x-axis reads "Proportion of Heads", y-axis reads "Frequency", and the title (main) says "Distribution of Sample Proportions, n=10": Code Start Over 1 volues-c("H","T") 2 phats-replicate(1000, sum(sample(values, 10, replace-TRUE)-"H")/10) 3 hist(phots, xlab-"X label here",ylab-"y label here", main-"Put title here",col-"orange") Run Code Exercise 4 Besides plotting the distribution, we can also use simulations to estimate the expected value/mean or standard deviation of random variables. The output below computes the mean. Change it so that it computes the standard deviation (commandsd): Code Start Over 1 values-c("H","T") 2 repeats-replicate(1000, sum(sample(values, 10, replace-TRUE)--"H")/10) 3 mean(repeats) Run Code
Exercise 3 If we increase the number of replicates to 1000, then we will encounter a larger percentage of possible values for p at frequencies proportional to their probabilities of occurrence. By plotting these replicates in a histogram, we can start to visualize the probability distribution of p. The code below provides an example with sample size = 10. Alter the plot so that the color is red, the x-axis reads "Proportion of Heads", y-axis reads "Frequency", and the title (main) says "Distribution of Sample Proportions, n=10": Code Start Over 1 volues-c("H","T") 2 phats-replicate(1000, sum(sample(values, 10, replace-TRUE)-"H")/10) 3 hist(phots, xlab-"X label here",ylab-"y label here", main-"Put title here",col-"orange") Run Code Exercise 4 Besides plotting the distribution, we can also use simulations to estimate the expected value/mean or standard deviation of random variables. The output below computes the mean. Change it so that it computes the standard deviation (commandsd): Code Start Over 1 values-c("H","T") 2 repeats-replicate(1000, sum(sample(values, 10, replace-TRUE)--"H")/10) 3 mean(repeats) Run Code
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Transcribed Image Text:Exercise 3
If we increase the number of replicates to 1000, then we will encounter a larger percentage of possible values for p at frequencies proportional to
their probabilities of occurrence. By plotting these replicates in a histogram, we can start to visualize the probability distribution of p. The code
below provides an example with sample size n = 10. Alter the plot so that the color is red, the x-axis reads "Proportion of Heads", y-axis reads
"Frequency", and the title (main) says "Distribution of Sample Proportions, n=10":
Code Start Over
1 values-c("H","T")
2 phats-replicate(1000, sum(sample(values, 10, replace-TRUE)--"H")/10)
3 hist(phots, xlab-"X label here",ylab-"y label here", main-"Put title here",col="orange")
Exercise 4
Besides plotting the distribution, we can also use simulations to estimate the expected value/mean or standard deviation of random variables.
The output below computes the mean. Change it so that it computes the standard deviation (command=sd):
Code
Run Code
Start Over
1 volues-c("H","T")
2 repeats-replicate(1000, sum(sample(values, 10, replace-TRUE)--"H")/10)
3 mean(repeats)
Run Code
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education