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

Question

Quizplus · Accepted Answer

The Answer of 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

The Time T (In Hours) Required for a New Employee f(t)=5324t9−tf ( t ) = \frac { 5 } { 324 } t \sqrt { 9 - t }f(t)=3245​t9−t​

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