Homework Help is Here – Start Your Trial Now!
Math
Statistics
A particular coin is biased. Each time it is flipped, the probability of a head is P (H) = 0.95 and the probability of a tail is P(T) = 0.05. Each flip is independent of the other flips. The coin is flipped twice. Let X be the total number of times the coin shows a head out of two flips. So the possible values of X are x = 0, 1, or 2. a) How would we find P(X= 2) ? (Pick all right answers) Type in Rstudio: choose(1, 1)* 0.95^0 * 0.05^2 Type in Rstudio: choose(2, 2)* 0.95^2 * 0.05^0 □ P(X = 2) = (²) P(H)² (1 – P(H))²—2 □ P(X = 2) = (₁) P(H)¹ (1 – P(H))2–1 Knowing that P(X = 1) = 0.095 and P(X= 2) = 0.9025 P(X = 0) = 0.0025 (Enter the exact value) b) What is the probability that X≥ 1? 0.0025 (Enter the exact value) c) Compute the expected value of X. μχ = d) Compute the variance X. of = (Enter the exact value) (Enter the exact value) compute the following probabilities:

A particular coin is biased. Each time it is flipped, the probability of a head is P (H) = 0.95 and the probability of a tail is P(T) = 0.05. Each flip is independent of the other flips. The coin is flipped twice. Let X be the total number of times the coin shows a head out of two flips. So the possible values of X are x = 0, 1, or 2. a) How would we find P(X= 2) ? (Pick all right answers) Type in Rstudio: choose(1, 1)* 0.95^0 * 0.05^2 Type in Rstudio: choose(2, 2)* 0.95^2 * 0.05^0 □ P(X = 2) = (²) P(H)² (1 – P(H))²—2 □ P(X = 2) = (₁) P(H)¹ (1 – P(H))2–1 Knowing that P(X = 1) = 0.095 and P(X= 2) = 0.9025 P(X = 0) = 0.0025 (Enter the exact value) b) What is the probability that X≥ 1? 0.0025 (Enter the exact value) c) Compute the expected value of X. μχ = d) Compute the variance X. of = (Enter the exact value) (Enter the exact value) compute the following probabilities:

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

Can you use the Rstudio to calculate some value please. Thank you!

A particular coin is biased. Each time it is flipped, the probability of a head is P (H) = 0.95 and the probability of a tail is P(T) = 0.05. Each flip is independent of the other flips. The coin is flipped twice. Let X be the total number of times the coin shows a head out of two flips. So the possible values of X are x = = 0, 1, or 2. a) How would we find P(X=2) ? (Pick all right answers) Type in Rstudio: choose(1, 1)* 0.95^0 * 0.05^2 ✔ Type in Rstudio: choose(2, 2)* 0.95^2 * 0.05^0 □ P(X = 2) = (²) P(H)² (1 – P(H))²—2 ○ P(X = 2) = (²)P(H)¹ (1 — P(H))²–1 Knowing that P(X = 1) = 0.095 and P(X= 2) = 0.9025 , compute the following probabilities: P(X=0) = 0.0025 (Enter the exact value) b) What is the probability that X ≥ 1? 0.0025 (Enter the exact value) c) Compute the expected value of X. "X= d) Compute the variance X. 0²= = (Enter the exact value) (Enter the exact value)
Transcribed Image Text:A particular coin is biased. Each time it is flipped, the probability of a head is P (H) = 0.95 and the probability of a tail is P(T) = 0.05. Each flip is independent of the other flips. The coin is flipped twice. Let X be the total number of times the coin shows a head out of two flips. So the possible values of X are x = = 0, 1, or 2. a) How would we find P(X=2) ? (Pick all right answers) Type in Rstudio: choose(1, 1)* 0.95^0 * 0.05^2 ✔ Type in Rstudio: choose(2, 2)* 0.95^2 * 0.05^0 □ P(X = 2) = (²) P(H)² (1 – P(H))²—2 ○ P(X = 2) = (²)P(H)¹ (1 — P(H))²–1 Knowing that P(X = 1) = 0.095 and P(X= 2) = 0.9025 , compute the following probabilities: P(X=0) = 0.0025 (Enter the exact value) b) What is the probability that X ≥ 1? 0.0025 (Enter the exact value) c) Compute the expected value of X. "X= d) Compute the variance X. 0²= = (Enter the exact value) (Enter the exact value)
b) What is the probability that X ≥ 1? 0.0025 (Enter the exact value) c) Compute the expected value of X. μ.Χ d) Compute the variance X. of = (Enter the exact value) e) What is the name of the distribution that can be used to model X? Binomial g) Let Y be the random variable Y = μy = (Enter the exact value) f) What are the values of parameters for the distribution selected in part e)? Parameters are n = Number and p = Number X 50 . (Enter the exact values) Compute the expected value of Y. (Enter the exact value)
Transcribed Image Text:b) What is the probability that X ≥ 1? 0.0025 (Enter the exact value) c) Compute the expected value of X. μ.Χ d) Compute the variance X. of = (Enter the exact value) e) What is the name of the distribution that can be used to model X? Binomial g) Let Y be the random variable Y = μy = (Enter the exact value) f) What are the values of parameters for the distribution selected in part e)? Parameters are n = Number and p = Number X 50 . (Enter the exact values) Compute the expected value of Y. (Enter the exact value)
Expert Solution
steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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