the corrct answes are c, b, b. i hope u can give me explanation. thanks. Questio

Question

the corrct answes are c, b, b. i hope u can give me explanation. thanks.

Questions 12-37 to 12-39 refer to this frequency distribution and set of random numbers Random numbers: 0.6246, 0.2594, 0.4055 Demand 0 Frequen 0.15 0.30 0.25 0.15 0.15 12-37 If a simulation begins with the first random number, the first simulated value would be: b. 1 d. 3 12-38 If a simulation begins with the first random number, the second simulated value would e: d. 3 12-39 If a simulation begins with the first random number, the third simulated value would be: d. 3

Explanation / Answer

Prepare cumulative frequency table

Cumulative frequency is calculated by adding all the frequencies from first row upto particular row. For example for demand state 3, cumulative frequency = 0.15+0.3+0.25+0.15 = 0.85

12-37

First random number is 0.6246. This is greater than 0.45 and smaller than 0.70. The applicable cumulative frequency interval for this is 0.45 to 0.70. Therefore, simulated value of demand state is 2.

12-38

Second random number is 0.2594. The applicable cumulative frequency interval for this is 0.15 to 0.45. Therefore, simulated value of demand state is 1.

12-39

Third random number is 0.4055. The applicable cumulative frequency interval for this is 0.15 to 0.45. Therefore, simulated value of demand state is 1.

Demand Frequency Cumulative Frequency 0 0.15 0.15 1 0.30 0.45 2 0.25 0.70 3 0.15 0.85 4 0.15 1

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