Portfolio Composition
an Investment Firm Has Classified Its Clients According

question 6

Short Answer

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.
-Find the following probabilities:
A)P(A or B)
B)P(A and B)

• A)P(A or B)
• B)P(A and B)

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Definitions:

Acidity

A chemical property that quantifies the amount of acid in a solution, often measured by pH levels.

Prostate Gland

A gland in the male reproductive system that produces a fluid that mixes with sperm to form semen.

Urethra

A tube that connects the urinary bladder to the urinary meatus for the removal of fluids from the body.

Renin

An enzyme secreted by the kidneys that plays a key role in regulating blood pressure by converting angiotensinogen to angiotensin.