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A computation consists of initialization followed by a REPEAT UNTIL loop. The cost expression of this computation is C = 10 + 20*e where e

A computation consists of initialization followed by a REPEAT UNTIL loop. The cost expression of this computation is C = 10 + 20*e where e is the number of times the true branch of the REPEAT UNTIL statement is false.

a) What are the possible values of e?

b) Select a suitable probability distribution for e.

c) Assuming that the exit probability from the REPEAT UNTIL loop is 0.4, find the probability distribution of the execution time of this computation using the tabular method (show the first five values in the table).

d) Use results of 3 to calculate the probability of C > 40.

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