A realtor has 25 similar properties to sell. Each month, the number she sells is binomially distributed with parameters n=number remaining to be sold and p=0.05. Let N be the number of months it takes to sell all 25 properties. By convention, let N=101 if at least one property is still not sold after 100 months. After running a simulation with at least 5,000 replications, what is the most realistic conclusion about N?   a. The probability that N is greater than 40 is around 0.89.     b. The probability that N equals 101 is around 0.14.     c. The probability that N is greater than 50 is around 0.77.     d. The probability that N is less than 75 is around 0.69.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
icon
Related questions
Question

A realtor has 25 similar properties to sell. Each month, the number she sells is binomially distributed with parameters n=number remaining to be sold and p=0.05. Let N be the number of months it takes to sell all 25 properties. By convention, let N=101 if at least one property is still not sold after 100 months. After running a simulation with at least 5,000 replications, what is the most realistic conclusion about N?

  a. The probability that N is greater than 40 is around 0.89.  
  b. The probability that N equals 101 is around 0.14.  
  c. The probability that N is greater than 50 is around 0.77.  
  d. The probability that N is less than 75 is around 0.69.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
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:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
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