(A) Explain Why the Function Defined by the Graph Below $P ( x < 2 )$

question 58

Essay

(a) Explain why the function defined by the graph below is a probability density function. (b) Use the graph to find the following probabilities:
(i) $P ( x < 2 )$ (ii) $P ( 2 \leq x \leq 5 )$ (c) Calculate the median for this distribution.

---

Definitions:

Innate Talent

Natural ability or skill that an individual is born with, often seen as a predisposition towards certain activities or fields.

Construct Validity

The degree to which a test measures what it claims, or purports, to be measuring.

Content Validity

The extent to which a test measures all aspects of the concept or construct it is intended to assess.

Extraversion

A personality characteristic that involves being outgoing, talkative, and energetic.