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) \(106.600 \%\)

---

Definitions:

Single Mother

A woman who has a child or children and is raising them without the support of their other parent.

Head of Household

A tax filing status for unmarried individuals who provide the main source of support for one or more qualifying persons in their home.

Taxable Income

The amount of income that is used to calculate how much tax an individual or a company owes to the government.

Married Filing Jointly

A tax filing status for married couples that allows them to combine their tax obligations into a single return.