Example 7.10 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% -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 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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A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

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Q: Example 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 5.

A: We have given that.   X~N( μ , ?^2 )   μ =30 , ? =5   Z-score =( x - μ )/?