SOLVED

11) A distribution of service times at a waiting line indicates that service takes 6 minutes 30 percent of the time, 7 minutes 40 percent of the time, 8 minutes 20 percent of the time, and 9 minutes 10 percent of the time. In preparing this distribution for Monte Carlo analysis, the service time of 8 minutes would be represented by what random number range? A) 20 through 40 B) 21 through 40 C) 70 through 90 D) 71 through 90 E) 01 through 20 12) A distribution of service times at a waiting line shows that service takes 6 minutes 30 percent of the time, 7 minutes 40 percent of the time, 8 minutes 20 percent of the time, and 9 minutes 10 percent of the time. This distribution has been prepared for Monte Carlo analysis. The first two random numbers drawn are 53 and 74. The simulated service times are ________ minutes, then ________ minutes. A) 6; 7 B) 7; 7 C) 7; 8 D) 8; 9 E) Cannot determine because no service time probability is that large. 13) A distribution of service times at a waiting line indicates that service takes 12 minutes 30 percent of the time and 14 minutes 70 percent of the time. In preparing this distribution for Monte Carlo analysis, the service time 13 minutes would be represented by what random number range? A) 00 through 29 B) 01 through 30 C) 30 through 99 D) 31 through 00 E) None of these; 13 minutes is not a possible outcome. 14) A distribution of service times at a waiting line indicates that service takes 12 minutes 30 percent of the time and 14 minutes 70 percent of the time. This distribution has been prepared for Monte Carlo analysis. The first four random numbers drawn are 07, 60, 77, and 49. What is the average service time of this simulation? A) 12 minutes B) 13 minutes C) 13.5 minutes D) 14 minutes E) 54 minutes 15) A distribution of lead times in an inventory problem indicates that lead time was 1 day 20 percent of the time, 2 days 30 percent of the time, 3 days 30 percent of the time, and 4 days 20 percent of the time. This distribution has been prepared for Monte Carlo analysis. The first four random numbers drawn are 06, 63, 57, and 02. What is the average lead time of this simulation? A) 1.75 days B) 2 days C) 3 days D) 3.5 days E) 8 days 16) What is the cumulative probability of selling 4 tires? Tires Sold Probability 0 .1 1 .2 2 .15 3 .3 4 .25 A) 1 B) .5 C) 10 D) .2 E) .25 17) The number of tires sold at a car garage varies randomly between 0 and 4 each hour, with equally probability for each possible outcome. What set of random numbers (on the 01-100 scale) would tire sales of 2 be assigned? A) 01 through 20 B) 21 through 40 C) 41 through 60 D) 51 through 75 E) 26 through 50 18) There are four possible outcomes for a Monte Carlo simulation variable (A, B, C, and D). The random numbers 02, 22, 53, and 74 correspond to the variables ________, respectively, if each possible outcome has an equivalent chance of occurring. A) A A C C B) B B D D C) A B C D D) D C B A E) A A C D 19) The ________ method is a simulation technique that uses random elements when chance exists in their behavior. 20) A(n) ________ is the accumulation of individual probabilities of a distribution. 21) A(n) ________ is a series of digits that have been selected by a totally random process. 22) The numbers used to represent each possible value or outcome in a computer simulation are referred to as ________.