The number K of parcels that the drivers of a parcel delivery service company can load in their trucks is a random variable with the PMF PK(k)= 40%e-40 k! k = 0, 1, 2,... The weight W of a parcel in pounds is a continuous random variable with PDF fw(w)=[1/6 3≤w≤9 otherwise Let X denote the weight of a randomly selected loaded truck. a. What is the s-transform of the PDF of X? b. What is the expected value of X? c. What is the variance of X?

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