Use Chebyshev’s theorem and Theorem 3 to verifythat the probability is at least 3536 that (a) in 900 flips of a balanced coin the proportion of headswill be between 0.40 and 0.60;(b) in 10,000 flips of a balanced coin the proportion ofheads will be between 0.47 and 0.53;(c) in 1,000,000 flips of a balanced coin the proportion ofheads will be between 0.497 and 0.503. Note that this serves to illustrate the law of large num-bers.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Question
Use Chebyshev’s theorem and Theorem 3 to verify
that the probability is at least 35
36 that
(a) in 900 flips of a balanced coin the proportion of heads
will be between 0.40 and 0.60;
(b) in 10,000 flips of a balanced coin the proportion of
heads will be between 0.47 and 0.53;
(c) in 1,000,000 flips of a balanced coin the proportion of
heads will be between 0.497 and 0.503.
Note that this serves to illustrate the law of large num-
bers.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning