A delivery service charges a special rate for any package that weighs less than 1 pound. Let

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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:

1 0.5 x

Density Density = 0.5

+ x 1.0 1.5 0

Use the fact that the area of a trapezoid 5 (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?

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