Portfolio Composition
an Investment Firm Has Classified Its Clients According

question 117

Essay

Portfolio Composition
An investment firm has classified its clients according to their gender and the composition of their investment portfolio (primarily bonds,primarily stocks,or a balanced mix of bonds and stocks).The proportions of clients falling into the various categories are shown in the following table:
$$\begin{array}{l}\quad \quad \quad \quad \text { Partfolin Compasition }\\\begin{array} { | l | c | c | c | } \hline \text { Cender } & \text { Ennds } & \text { Stacks } & \text { Galanced } \\\hline \text { Mala } & 0.18 & 0.20 & 0.25 \\\hline \text { Female } & 0.12 & 0.05 & 0.20 \\\hline\end{array}\end{array}$$ One client is selected at random,and two events A and B are defined as follows:
A: The client selected is male.
B: The client selected has a balanced portfolio.
-Are A and B mutually exclusive events? Explain.

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Definitions:

Static Images

Still pictures or photographs that do not involve any movement or change over time.

Fiber Myelination

The process of coating neural fibers with myelin, a fatty substance that increases the speed and efficiency of electrical signal transmission in the nervous system.

DTI

Diffusion Tensor Imaging, a type of MRI technique that measures the directional movement of water molecules in tissue, particularly useful in brain imaging to map neural tracts.

Event-Related Potentials

Brain responses that are directly the result of a specific sensory, cognitive, or motor event.