Question: For the Transaction Processing Performance Councils benchmark in Exercise 5-10, let X, Y , and Z denote the average number of selects, updates, and inserts

For the Transaction Processing Performance Council’s benchmark in Exercise 5-10, let X, Y , and Z denote the average number of selects, updates, and inserts operations required for each type of transaction, respectively. Calculate the following:

(a) fXYZ (x, y, z)

(b) Conditional probability mass function for X and Y given Z = 0

(c) P(X <6, Y <6 | Z = 0) 

(d) E(X |Y = 0, Z = 0)

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