Problems 13 1. The price of share of particular stock listed on the New York stock Exchange is currently $39. The following probability distribution shows how the price per share is expected to change over a three-month period. Stock Price Change ($) Probability -2 0.05 -1 0.10 0 0.25 +1 0.20 +2 0.20 +3 0.10 +4 0.10 a. Set up intervals of random numbers that can be used to generate the change in stock price over a three-month period b. With the current price of $39 per share and the random number 0.1091, 0.9407, 0.1941, and 0.8083, simulate the price per share for the next four 3-month periods. What the ending simulated price per share 2. A Project has four activity (A,B,C, and D) that must be performed sequentially. The probability distribution for the time required to complete each of the activities are as follows: Activity Activity Time Probability (weeks) A 5 025 6 035 7 025 8 015 B 3 5 7 020 055 025 C 10 12 14 16 18 010 025 040 020 005 D 8 10 060 040 a. Provide the best case, worst case, and best case calculations for the time to complete the project. b. Use the random number o.1778, 0.9617, 0.6849, and 0.4503 to simulate the completion time of the project in week c. Discuss how simulation could be used to estimate the probability the project can be completed in 35 weeks or less.