The Probability of Recall in an Experiment Is Modeled By P

question 7

Multiple Choice

The probability of recall in an experiment is modeled by $P ( a \leq x \leq b ) = \int _ { a } ^ { b } \frac { 75 } { 14 } \left( \frac { x } { \sqrt { 4 + 5 x } } \right) d x , 0 \leq x \leq 1$ where x is the percent of recall. What is the probability of recalling between 50% and 70%? Round your answer to three decimal places.

• A)0.243
• B)0.206
• C)0.650
• D)0.163
• E)0.832

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Definitions:

Expectancy Theory

A motivational theory suggesting that individuals are motivated to act based on the expected outcome and the value they place on that outcome.

Victor Vroom

A renowned management theorist known for his work on expectancy theory which explains how individuals choose behaviors based on expected outcomes.

Expected Level of Task Performance

The anticipated standard or degree of accomplishment that an individual or group should achieve in executing a specific task or duty.

Hard Work

The extensive effort and dedication put into tasks to achieve goals, often characterized by long hours and high levels of commitment.