An express mail service charges a special rate for any

Chapter 0, Problem 7.27

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An express mail service charges a special rate for any package that weighs less than 1 lb. 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 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 lb? between 0.25 and 1.5 lb? at least 0.75 lb? 1 0.5 x Density Density = 0.5 + x 1.0 1.5 0 b. It can be shown that and What is the probability that the value of x is more than 1 standard deviation from the mean value?

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