Consider the Following to Answer the Question(s) Below

question 3

Multiple Choice

Consider the following to answer the question(s) below:
A land owner is considering a community development project. Even though he realizes that the current market for housing is not very favourable, he believes that there will be an influx of retirees into the area within the next five years. He is trying to decide between two alternatives: (1) building detached homes in a planned retirement community or (2) building a smaller townhouse/condominium complex. Mortgage interest rates will affect his outcomes and the applicable payoff (in $ millions) table is shown below.
-Suppose housing analysts predict that the probabilities for future mortgage interest rates going up, staying about the same, and going down are 0.35, 0.50 and 0.15, respectively. The expected value for building an active retirement community is

• A) $2.5 million
• B) $3.625 million
• C) $2.75 million
• D) $875,000
• E) Indeterminate

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Definitions:

Mode

The most common number found within a given collection of data.

Frequency Distributions

A summary of data showing the number of observations in each of several non-overlapping categories or bins.

Numerical Data

Information that is quantifiable and can be assigned numerical values, used in statistical analysis.

Positive Correlation

A relationship between two variables where an increase in one variable is associated with an increase in the other variable.