1. Consider flipping a Standard US Quarter. This is an Unfair coin such that P(Tails) = 0.513 according to the best models. If you flip US Quarter 8 times you can model the number of Tails flipped as a Binomial distribution of B(8, 0.513) D. What is the Standard Deviation for the number of Tails flipped, round to the nearest thousandth. E. Compute the following to the nearest ten-thousandth: 1. P(Flip 4 tails) II. P(Flip 5 tails) III. P(Flip 3 tails) F. Without computing the Probabilities explain why P(flipped 6 or more Tails) > P(flipped 2 or fewer Tails)
1. Consider flipping a Standard US Quarter. This is an Unfair coin such that P(Tails) = 0.513 according to the best models. If you flip US Quarter 8 times you can model the number of Tails flipped as a Binomial distribution of B(8, 0.513) D. What is the Standard Deviation for the number of Tails flipped, round to the nearest thousandth. E. Compute the following to the nearest ten-thousandth: 1. P(Flip 4 tails) II. P(Flip 5 tails) III. P(Flip 3 tails) F. Without computing the Probabilities explain why P(flipped 6 or more Tails) > P(flipped 2 or fewer Tails)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:### Binomial Distribution Problem: Flipping an Unfair Coin
1. **Consider flipping a Standard US Quarter. This is an **Unfair coin** such that P(Tails) = 0.513 according to the best models. If you flip a US Quarter 8 times, you can model the number of Tails flipped as a Binomial distribution of \( B(8, 0.513) \).
---
**D.** What is the Standard Deviation for the number of Tails flipped? Round to the nearest thousandth.
**E.** Compute the following to the nearest ten-thousandth:
1. P(Flip 4 tails)
2. P(Flip 5 tails)
3. P(Flip 3 tails)
**F.** Without computing the Probabilities, explain why \( P(\text{flipped 6 or more Tails}) > P(\text{flipped 2 or fewer Tails}) \).
---
This text introduces the concept of using a Binomial distribution to model the probability of flipping tails with a biased coin. The coin is described as having a probability of 0.513 for landing on tails. The problem involves calculations using this distribution, including the standard deviation and specific probability computations.
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 3 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman