8.5 Challenging Integral Applications
Question #1 (Easy): Probability Density Function
Probability density function means for all the possible values that x can take,
the integral∫ ( ) . To evaluate any given probability where ( ), plug into the integral
with the interval that matches with the probability.
Let ( ) ( ) for and ( ) for all other values of .
1) Verify that ( ) is a probability density function.
2) Find ( )
1) Probability density function means when it is integra