Please **Simulation Example:**Denise has a bad habit of sleeping through her alarm in the mornings. She oversleeps and is late for her 8 am class 10% of the time.1. **We want to simulate 15 days of 8 am classes for Denise. Which of the following digit assignments would work for this simulation? (only one correct answer)** a) 0 to 8 = on time, 9 = late to class b) 00 to 49 = on time, 50 to 99 = late to class c) 0 to 4 = on time, 5 to 9 = late to class d) 00 to 90 = on time, 91 to 99 = late to class 2. **Use the random digit assignment from the previous question, start at line 104 from the random number table A (attached to the back) to simulate the 15 class days.** | Day | 1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | 9th | 10th | 11th | 12th | 13th | 14th | 15th | |-------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|------|------|------|------|------|------| | Random Number | | | | | | | | | | | | | | | | | Was she on time or late? | | | | | | | | | | | | | | | |3. **What percent of days was Denise late in this simulation?**4. **How does this compare to the 10% probability we were given at the beginning? If there is a difference, why are they different?****Explanation of Visuals:**- A table is provided to record the random numbers and determine whether Denise was on time or late for each of the 15 days. Each column represents one day of class.- Participants in the exercise will fill out the table based on the chosen digit assignment method and random numbers from the supplementary material. **Table A: Random Digits**This table consists of rows and columns filled with random digits. It's commonly used in statistics and research to simulate random sampling or for other purposes where random numbers are needed.**Description:**- **Line Numbers:** Each row begins with a line number ranging from 101 to 150.- **Random Digits:** Each line contains five groups of five-digit numbers. The numbers are randomly arranged without any apparent pattern, reflecting the typical output of a random digit table.**Example Entries:**- **Line 101:** 19223, 95034, 05756, 28713, 96409- **Line 102:** 12531, 42544, 82853- **Line 103:** 73676, 47150, 99400, 01927, 27754The table serves as a tool to extract unbiased random samples for experimental and other purposes.

Denise has a bad habit of sleeping through her alarm in the morning. She oversleeps and is late for her 8 am class 10% of the time. Part (1) : We want to simulate 15 days or 8 am class for Denise. On to total there are 10 digits from 0 to 9. Choosing "0 to 8 = on time" and "9 = late to class" for simulation could be a good choice because there is 10% (1 number from 0 to 9) chance of choosing a number 9. And we exactly want 10% for late to class. Let us check for rest of the options. On to total there are 100 digits from 00 to 99. Choosing "00 to 49 = on time" and "50 to 99 = late to class" for simulation can not be a good choice because there is 50% (50 numbers from 00 to 99) chance of choosing a number from 50 to 99. While we want just 10% for late to class. On to total there are 10 digits from 0 to 9. Choosing "0 to 4 = on time" and "5 to 9 = late to class" for simulation can not be a good choice because there is 50% (5 numbers from 0 to 9) chance of choosing a number from 5 to 9. While we want just 10% for late to class. On to total there are 100 digits from 00 to 99. Choosing "00 to 90 = on time" and "91 to 99 = late to class" for simulation can not be a good choice because there is 9% (50 numbers from 00 to 99) chance of choosing a number from 91 to 99. While we want just 10% for late to class. Hence option A is correct for part 1.Note that there are sets of 5 random numbers in the table A. we want just a single digit to simulate from 0 to 9. So we start from line 104 and go on checking the first digit among set of 5. This can be done as follows; Consider first column. Start from line 104, we get number "52711" this gives 5. Since 5 ∈ {0,1,2,3,4,5,6,7,8} we assign "Denise was on time for 1st day". From line 105, we get number "95592" this gives 9. Since we get number 9 we assign "Denise was late to class for 2nd day day". From line 106, we get number "68417" this gives 6. Since 6 ∈ {0,1,2,3,4,5,6,7,8} we assign "Denise was on time for 3rd day". We keep going like this to get the following table, Day Random Number Was she on time or late? 1st Day 52711 Was on time 2nd Day 95592 Was late to class 3rd Day 68417 Was on time 4th Day 82739 Was on time 5th Day 60940 Was on time 6th Day 36009 Was on time 7th Day 38448 Was on time 8th Day 81486 Was on time 9th Day 59636 Was on time 10th Day 62568 Was on time 11th Day 45149 Was on time 12th Day 61041 Was on time 13th Day 14459 Was on time 14th Day 38167 Was on time 15th Day 73190 Was on time From the above simulation for Denise 8 am class, we get among these 15 days she was late for just one day. This gives, Proportion = Number of days she was late for classTotal number of days simulated=115=0.0667. Hence the percent of Days Denise late in the simulation was, proportion*100 = 0.0667*100 = 6.67%. Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.