A delivery service charges a special rate for any package that weighs less than 1 pound. Let x denote the weight of a randomly selected parcel that qualifies for this special rate. The probability distribution of x is specified by the following density curve:

Use the fact that the area of a trapezoid = (base)(average of two side lengths) to answer each of the following questions.
a. What is the probability that a randomly selected package of this type weighs at most 0.5 pound?
b. What is the probability that a randomly selected package of this type weighs between 0.25 pound and 0.5 pound?
c. What is the probability that a randomly selected package of this type weighs at least 0.75 pound?

Density Density 0.5+x 1.5 0.5