Homework Help is Here – Start Your Trial Now!
Math
Statistics
In order to estimate the probability of an event A, a sequence of n Bernoulli trials is carried out and the relative frequency of A is observed. How large should n be in order to have a 0.8 probability that the relative frequency is within 0.08 of p = P[A]? Hint: Use the Chebyshev inequality: for all e > 0, P[|X - E[X]>=e] <= Var[X]/e²; and the fact that p(1-p) is at most 1/4 for p in [0,1]. 196.00 232.00 144.00 179.00

In order to estimate the probability of an event A, a sequence of n Bernoulli trials is carried out and the relative frequency of A is observed. How large should n be in order to have a 0.8 probability that the relative frequency is within 0.08 of p = P[A]? Hint: Use the Chebyshev inequality: for all e > 0, P[|X - E[X]>=e] <= Var[X]/e²; and the fact that p(1-p) is at most 1/4 for p in [0,1]. 196.00 232.00 144.00 179.00

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

please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly

In order to estimate the probability of an event A, a sequence of n Bernoulli trials is carried out and the relative frequency of A is observed. How large should n be in order to have a 0.8 probability that the relative frequency is within 0.08 of p = P[A]? Hint: Use the Chebyshev inequality: for all e > 0, P[|X - E[X]>=e] <= Var[X]/e²; and the fact that p(1-p) is at most 1/4 for p in [0,1]. 196.00 232.00 144.00 179.00
Transcribed Image Text:In order to estimate the probability of an event A, a sequence of n Bernoulli trials is carried out and the relative frequency of A is observed. How large should n be in order to have a 0.8 probability that the relative frequency is within 0.08 of p = P[A]? Hint: Use the Chebyshev inequality: for all e > 0, P[|X - E[X]>=e] <= Var[X]/e²; and the fact that p(1-p) is at most 1/4 for p in [0,1]. 196.00 232.00 144.00 179.00
Expert Solution
steps

Step by step

Solved in 2 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