Compute and Interpret Probabilities Using the Empirical Method
-The Table

question 157

Multiple Choice

Compute and Interpret Probabilities Using the Empirical Method
-The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person lives 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal.
$\begin{array}{l|l}\text { Years after Diagnosis } & \text { Number deaths } \\\hline 1-2 & 15 \\3-4 & 35 \\5-6 & 16 \\7-8 & 9 \\9-10 & 6 \\11-12 & 4 \\13-14 & 2 \\15+ & 13\end{array}$

• A) \(\frac { 35 } { 100 } ; 0.35\)
• B) \(\frac { 1 } { 35 } ; 0.029\)
• C) \(\frac { 35 } { 65 } ; 0.538\)
• D) \(\frac { 7 } { 120 } ; 0.058\)

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Definitions:

Liability

Legal responsibility for one's actions or inactions, which may result in financial restitution or penalties.

Fiduciary Duty

A legal obligation requiring one party (the fiduciary) to act solely in another party's (the beneficiary's) interest when managing the latter's assets, involving loyalty and care.

Shareholder's Legal Duties

Obligations imposed on shareholders, including acting in the best interest of the corporation and adhering to corporate laws and regulations.

Majority Shareholders

Individuals or entities that own more than half of the total shares of a corporation, giving them significant control over company decisions.