The Table Below Shows the Soft Drinks Preferences of People

question 52

Multiple Choice

The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{l|ccc} & \text { Cola } & \text { Root beer } & \text { Lemon-lime } \\\hline \text { Under 21 years of age } & 40 & 25 & 20 \\\text { Between 21 and 40 } & 35 & 20 & 30 \\\text { Over 40 years of age } & 20 & 30 & 35\end{array}$

If one of the 255 subjects is randomly selected, find the probability (in fractional form) that the person is over 40 and drinks cola.

• A) \(\frac { 4 } { 19 }\)
• B) \(\frac { 4 } { 17 }\)
• C) \(\frac { 4 } { 51 }\)
• D) None are correct.

Solve practical problems involving conditional probability, including medical diagnostics and service delivery scenarios.

Calculate the probabilities of composite events using addition and multiplication rules.

Apply Bayes' Law in real-world scenarios like medical diagnosis and service delivery performance.

Analyze the influence of updated information on probability estimates using Bayes' Theorem.

---

Definitions:

Cognitive Explanations

Theories or interpretations that account for a phenomenon based on mental processes such as perception, memory, and reasoning.

Experimental Tests

Controlled tests carried out to investigate the effectiveness or properties of a theory or substance.

Agoraphobia

An anxiety disorder characterized by an intense fear of being in situations where escape might be difficult or help wouldn't be available if panic strikes.

Panic Disorder

A psychiatric disorder characterized by sudden episodes of intense fear or anxiety and physical symptoms based on a perceived threat rather than imminent danger.