Suppose x represents the continuous random variable x= amount of time ( in minutes ) taken by a clerk to process a certain type of application form. Suppose that x has a probability distribution with...

Suppose x represents the continuous random variable

x= amount of time ( in minutes ) taken by a clerk to process a certain type of application form.

Suppose that x has a probability distribution with density function

f(x)= {   .5   4< x=""><>

               0   otherwise

What is the probability that the clerk will process the application between 4.5 minutes to 5.5 minutes? ( Hint: the area of a rectangle is ( base ) times ( height ) . )

p( 4.5 greater than or equal to x greater than 5.5 )=