Suppose That the Probability That a Person Will Remember Between $100 a \% \text { and } 100 b \%$

question 111

Multiple Choice

Suppose that the probability that a person will remember between $100 a \% \text { and } 100 b \%$ of material learned in an experiment is $P _ { a , b } = \int _ { a } ^ { b } \frac { 15 } { 4 } x \sqrt { 1 - x } d x$ where $x$ represents the proportion
remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between $50 \%$ and $75 \%$ of the material? Express your answer as a percent rounded to three decimal places.

• A) \(19.900 \%\)
• B) \(12.500 \%\)
• C) \(11.000 \%\)
• D) \(35.300 \%\)
• E) \(106.600 \%\)

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Definitions:

Nutritional Status

A measure of the body's health and vitality, determined by the intake, absorption, and use of nutrients.

Caloric Intake

The amount of calories consumed from foods and beverages by an individual within a certain time period.

Vitamins

Organic compounds that are essential in small amounts for the body to maintain health and support its biochemical functions.

Obese

A medical condition characterized by excess body fat that presents significant risks to health and wellbeing.