The Time T (In Hours) Required for a New Employee $f ( t ) = \frac { 5 } { 324 } t \sqrt { 9 - t }$

question 25

Multiple Choice

The time t (in hours) required for a new employee to successfully learn to operate a machine in a manufacturing process is described by the probability density function $f ( t ) = \frac { 5 } { 324 } t \sqrt { 9 - t }$ over the interval $[ 0,9 ]$ . Find the probability that a new employee will learn to operate the machine in more than 3 hours but less than 7 hours.

• A)0.6634
• B)0.3052
• C)0.5895
• D)0.2733
• E)0.4632

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Definitions:

Overtime Work

Work performed beyond the standard hours set for a workday or workweek, typically compensated at a higher pay rate.

Job Satisfaction

The level of contentment or happiness that individuals feel with their job, including aspects like work environment, duties, and compensation.

Labor Force

The total number of people employed plus the number actively seeking employment.

Female

Denoting the sex that can bear offspring or produce eggs, distinguished biologically by the production of gametes (ova) which can be fertilized by male gametes.