Homework Help is Here – Start Your Trial Now!
Math
Probability
Repeatedly rolling a die would result in a uniform distribution of values between 1 and 6, inclusive. Repeatedly rolling two (2) dice would result in a uniform distribution of values between two (2) and twelve (12) inclusive. a. In this simulation, repeatedly roll one (1) die, count the number of occurrences of each value and plot the histogram: 1. After 100 simulations. ii. After 1,000 simulations. b. In the next simulation, repeatedly roll four (4) dice, sum the results of the four (4) dice faces, count the number of occurrences of each value and plot the histogram: i. After 100 simulations. ii. After 1,000 simulations. Each simultaneous roll of four (4) dice is counted as one simulation. c. Compute the following probabilities based on your simulations: If one die is rolled what is the probability that i. The outcome is even? The outcome is odd? ii. If four dice are rolled what is the probability that • The total showing is even? • The total showing is odd? probability of occurrence of event i = number of times event i occurred total number of simulations

Repeatedly rolling a die would result in a uniform distribution of values between 1 and 6, inclusive. Repeatedly rolling two (2) dice would result in a uniform distribution of values between two (2) and twelve (12) inclusive. a. In this simulation, repeatedly roll one (1) die, count the number of occurrences of each value and plot the histogram: 1. After 100 simulations. ii. After 1,000 simulations. b. In the next simulation, repeatedly roll four (4) dice, sum the results of the four (4) dice faces, count the number of occurrences of each value and plot the histogram: i. After 100 simulations. ii. After 1,000 simulations. Each simultaneous roll of four (4) dice is counted as one simulation. c. Compute the following probabilities based on your simulations: If one die is rolled what is the probability that i. The outcome is even? The outcome is odd? ii. If four dice are rolled what is the probability that • The total showing is even? • The total showing is odd? probability of occurrence of event i = number of times event i occurred total number of simulations

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
See similar textbooks
icon
Related questions
Question

1

PART B Repeatedly rolling a die would result in a uniform distribution of values between 1 and 6, inclusive. Repeatedly rolling two (2) dice would result in a uniform distribution of values between two (2) and twelve (12) inclusive. a. In this simulation, repeatedly roll one (1) die, count the number of occurrences of each value and plot the histogram: 1. After 100 simulations. After 1,000 simulations. ii. b. In the next simulation, repeatedly roll four (4) dice, sum the results of the four (4) dice faces, count the number of occurrences of each value and plot the histogram: i. After 100 simulations. ii. After 1,000 simulations. Each simultaneous roll of four (4) dice is counted as one simulation. c. Compute the following probabilities based on your simulations: If one die is rolled what is the probability that i. The outcome is even? The outcome is odd? ● ii. If four dice are rolled what is the probability that . The total showing is even? • The total showing is odd? probability of occurrence of event i = number of times event i occurred total number of simulations
Transcribed Image Text:PART B Repeatedly rolling a die would result in a uniform distribution of values between 1 and 6, inclusive. Repeatedly rolling two (2) dice would result in a uniform distribution of values between two (2) and twelve (12) inclusive. a. In this simulation, repeatedly roll one (1) die, count the number of occurrences of each value and plot the histogram: 1. After 100 simulations. After 1,000 simulations. ii. b. In the next simulation, repeatedly roll four (4) dice, sum the results of the four (4) dice faces, count the number of occurrences of each value and plot the histogram: i. After 100 simulations. ii. After 1,000 simulations. Each simultaneous roll of four (4) dice is counted as one simulation. c. Compute the following probabilities based on your simulations: If one die is rolled what is the probability that i. The outcome is even? The outcome is odd? ● ii. If four dice are rolled what is the probability that . The total showing is even? • The total showing is odd? probability of occurrence of event i = number of times event i occurred total number of simulations
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS