EL ENG 126 Study Guide - Midterm Guide: Phase Transition, Random Variable, Partial Derivative
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Pr(x > 4) = pr(x 1 > 3) 2 2/9 = 1/9. (b) they have same distributions. The reason is that pr(y1 y) = pr( y . So, the expected waiting time is 2/3 15 + 1/3 7. 5 = 37. 5/3 = 12. 5. (d) we need to nd expected value and variance of t100. So we approximate the distribution with z n (100, 100). > 1) = q(1) 0. 16. (e) let = n + s + w + e. Then, an arriving car is coming from north with probability pn = n/ , from south with probability ps = s/ and so on. Now given 8 arrivals, the probability of 2 cars from each direction is. Problem 2. (a) it is easy to see that the answer is 0. 6 0. 4 + 0. 4 0. 5 = 0. 44. (b) we solve ow-conserving equations. 1 (c) the limit is (1) 0. 4 + (2) 0. 3 = 1/9. (d) no.
