Assignment 2

1. a. What is simulation?b. what are the uses of simulation?c. What are the different types of distributions?

2. Given the following measurements of the strength of the inbound material received from a supplier

105 153 181 158 134 101 145 150221 174 158 133 178 171 171 135183 120 176 207 76 165 148 196186 168 110 180 167 172 158 201121 167 163 190 184 158 160 200181 141 131 193 135 169 175 176180 245 154 194 229 199 149 150143 228 115 133 146 151 87 170

97 174 160 156 218 142 160 118154 199 208 123 157 163 237 149

a. Construct a stem and leaf diagram.b. Compute media, 1st quartile, 3rd quartile, and inter-quartile range.

3. The number of customers arriving at a bank every 30 minutes is recorded as follows

3 4 35 5 43 4 53 3 54 5 44 5 45 5 35 4 33 3 4

Draw a histogram. From the histogram, estimate a distribution that can be used as an approximation of the number of customers arriving every 30 minutes. Is it a continuous or discrete distribution?

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4. Which discrete distribution can be used in the following cases:a. The number of customers arriving at a bank if there is an average of 5

customers arriving per hour.b. The probability of guessing the correct answer from a multiple choice

question if you are guessing the answer.c. The probability of guessing 5 questions out of 10 questions correctly

in an exam consisting of 10 multiple choice question given that you are guessing the answer.

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