Find Conditional and Marginal Distributions A) 31% (34 / 64)

question 16

Multiple Choice

Find conditional and marginal distributions.
-A full service brokerage firm gathered information on how their clients were investing
For retirement. Based on age, clients were categorized according to where the largest
Percentage of their retirement portfolio was invested and shown in the table below. The
Percentage of clients over age 50 is $$\begin{array} { | l | c | c | c | } \hline & \begin{array} { l } \text { Age 50 or } \\\text { Younger }\end{array} & \begin{array} { l } \text { Over } \\\text { Age 50 }\end{array} & \text { Total } \\\hline \text { Mutual Funds } & 30 & 34 & \mathbf { 6 4 } \\\hline \text { Stocks } & 37 & 45 & \mathbf { 8 2 } \\\hline \text { Bonds } & 19 & 23 & \mathbf { 4 2 } \\\hline \text { Total } & \mathbf { 8 6 } & \mathbf { 1 0 2 } & \mathbf { 1 8 8 } \\\hline\end{array}$$

• A) 3.1% (34 / 64).
• B) 33.3% (34 / 102).
• C) 18.1% (34 / 188).
• D) 34% (64 / 188).
• E) 54.3% (102 / 188).

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Definitions:

Supply Curve

A graph displaying the relationship between the price of a good or service and the quantity of that good or service that a supplier is willing and able to provide, holding all else equal.

Diminishing Marginal Product

A principle stating that as more of a variable input is added to a fixed input, the additional output produced from each additional unit of the variable input eventually decreases.

Marginal Costs

The supplementary cost arising from the manufacture of an extra unit of a good or service.

Variable Inputs

Inputs that can be adjusted in the short term to alter the level of output in the production process.