ECE 313 Lecture : probset_4.pdf

• School: University of Illinois
• Department: Electrical and Computer Engineering
• Course: ECE 313
• Professor: Iyer

Document Summary

Write your name and netid on top of all the pages. Sections 2. 2. 3 to 2. 3. 4 of introduction to probability models (ross). Problem 1 consider the following program segments consisting of a while loop: while ( b) do s, do s while ( b) Assume that the boolean expression b is true with probability p and false with probability q = 1-p. If the successive tests on b are independent from each other, then let. X be the number of times the body (or the statement-group s) of the loop is executed. In one of the above cases, x has a geometric distribution and in the other case it has a modified geometric distribution (refer to lecture 9). Determine for each case the set of values that the random variable x might take and their respective probabilities, then derive the probability mass function (pmf) of x and determine the type of distribution.