Probability Density Functions Can Be Weighted So That Different Properties

question 37

Multiple Choice

Probability density functions can be weighted so that different properties of the distribution can be enhanced or diminished. For instance, if a set of test scores is to be used in comparing the highest performers in a class, one might want to use a pdf, , in which the probability of finding a certain score, f(x) , is multiplied by that score: . A mean found using the weighted pdf might be called a score-weighted mean. Find the score-weighted mean for an exam for which the probability of finding a score is given by the function . You will need to construct the weighted pdf then use it to find the mean score.

• A) 66.7
• B) 60.0
• C) 50.0
• D) 75.0

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Definitions:

Negligent

Failing to take proper care in doing something, leading to damage or harm to others.

Offensive Bodily Contact

Unwanted physical interaction or touching that is considered harmful or offensive.

Apprehension

Anxiety or fear that something bad or unpleasant will happen, or the arrest of a person suspected of committing a crime.

Willful

An action done intentionally, often referring to a deliberate decision made with full awareness of its consequences.