ece 342 Sample final with solutions.

• University of Alberta

• ECE 342

• Sample Final Questions, Part I, Fall 2015, ECE 342 Solutcen, t Evra Note: this document illustrates the scope and style of midterm questions. The actual final exam is much shorter than this list. Part I 1. Let PA] = P[B = 0.4 and PAUB] = 0.5. Find (a) P[A|BC]; (b) Are Ac and BC independent? pcAI g4] - PCAAB5J _ PCA]-PCA0B] PCBCJ l- PC8J PLAQ 8] - PCA2+PCG]- PCAU8]- 0.4+04-og- Ol 8,%-0. (b) PCAnB] = 0:3 ? PCAJ P[B]= 0.42 2. Answer the following questions: • • A B not Independen • A , 3 no (a) In a large bulk food jar at Superstore, there are four kinds of nuts: walnut, pecan, almond dnPen cashew. If you Pick a random piece from the jar, you will get each kind of nuts with equal probability. Now you pick 20 random pieces from the jar. What is the probability that you get less than 5 pieces of walnut? J 6 (b) Suppose you will roll a 6-sided fair dice repeatedly. Let X be the number of times you need to roll it until you get 3 rolls which are greater than or equal to 5. Find the PMF ofX cNC®.Tt-o$ X-+ peces o-L wA(nut yA / / , • I 4 TSononial(2o L PLX<5]= 2 * L2o T