Problem 7 Given a class room where the desk are arrange in a 4 × 4 square. Each desk is assigned randomly and independently to a boy or a girl. If a boy found a girl sitting right next to him (up, down left, right), then the boy will start flirting with that girl. Each boy can flirt with multiple girls next to him. For example, the boy at the corner can flirt up to 2 girls at a time. While the boy in the center can flirt up to 4 girls around him. What is the expected number of flirtation? Hint: Split expectation into a sum.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 18P
icon
Related questions
Question
Problem 7 Given a class room where the desk are arrange in a 4 × 4 square.
Each desk is assigned randomly and independently to a boy or a girl. If a boy found
a girl sitting right next to him (up, down left, right), then the boy will start flirting
with that girl. Each boy can flirt with multiple girls next to him. For example, the
boy at the corner can flirt up to 2 girls at a time. While the boy in the center can
flirt up to 4 girls around him. What is the expected number of flirtation?
Hint: Split expectation into a sum.
Transcribed Image Text:Problem 7 Given a class room where the desk are arrange in a 4 × 4 square. Each desk is assigned randomly and independently to a boy or a girl. If a boy found a girl sitting right next to him (up, down left, right), then the boy will start flirting with that girl. Each boy can flirt with multiple girls next to him. For example, the boy at the corner can flirt up to 2 girls at a time. While the boy in the center can flirt up to 4 girls around him. What is the expected number of flirtation? Hint: Split expectation into a sum.
Expert Solution
steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning