One of the reasons why the concept of an unfair coin is important in probability is that many real-life experiments can be modeled by a toss of an unfair coin. For example, if the probability of Kwan guessing the correct answer on a multiple-choice question is 0.25, then guessing the answer on a multiple-choice question can be modeled by a toss of an unfair coin for which Heads is associated with Correct and Tails with Incorrect. Thus, the probability of Kwan guessing correctly 2 answers on a multiple-choice test with 8 questions is exactly the same as the probability of getting 2 heads from tossing the coin 8 times and can be computed using the following formula P(kH/n) Chp(1-p)"-k with n=8, k-2, and p = 0.25: P(2H/8)=C-0.252-0.756-28-0.0625-0.177979 -0.3115 Find the probability of Kwan guessing correctly 3 answers on a multiple-choice test with 9 questions: (Round the answer to 4 decimal places.)
One of the reasons why the concept of an unfair coin is important in probability is that many real-life experiments can be modeled by a toss of an unfair coin. For example, if the probability of Kwan guessing the correct answer on a multiple-choice question is 0.25, then guessing the answer on a multiple-choice question can be modeled by a toss of an unfair coin for which Heads is associated with Correct and Tails with Incorrect. Thus, the probability of Kwan guessing correctly 2 answers on a multiple-choice test with 8 questions is exactly the same as the probability of getting 2 heads from tossing the coin 8 times and can be computed using the following formula P(kH/n) Chp(1-p)"-k with n=8, k-2, and p = 0.25: P(2H/8)=C-0.252-0.756-28-0.0625-0.177979 -0.3115 Find the probability of Kwan guessing correctly 3 answers on a multiple-choice test with 9 questions: (Round the answer to 4 decimal places.)
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
100%
Expert Solution
Description
Given that the binomial experiment is performed in order to determine the number of possible success.
We need to find P(X=3) given n=9 and p=0.25.
Trending now
This is a popular solution!
Step by step
Solved in 2 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