Find Conditional and Marginal Distributions A) 531% (34 / 64)

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. Of
The clients who invest in mutual funds, the percentage 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) 53.1% (34 / 64) .
B) 33.3% (34 / 102) .
C) 18.1% (34 / 188) .
D) 34% (64 / 188) .
E) 54.3% (102 / 188) .