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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