# Probability Question

probability project and need the explanation and answer to help me learn.

hi how are you

the file is attached below do it in excel and prepare the steps for the presentation

thanks

Requirements: 2 hours

1 MAT 105 – BASIC PROBABILITY AND STATISTICS Assignment +Project Presentation Instructions: Excel can be used to draw graphs. Interpretation of diagrams should be clearly explained. Assignment should be completed by 31st October 2023 The presentation will be held in the first week of November. Maximum Marks: (10+10) Date:20/10/2023 1. The following table gives the population million in of Oman. Draw a simple bar chart. Years 1998 1999 2000 2001 2002 Population 40 45 60 64 68 2. The following table gives the imports and exports of Oman for year 1992-93 to 1996-97. Draw a multiple bar chart. Years Imports Exports 1992-93 8 4 1993-94 10 6 1994-95 12 9 1995-96 18 13 1996-97 20 17 3. Frequency polygon Graph Here are the steps to follow to find the frequency distribution of a frequency polygon and it is represented in a graphical way. Obtain the frequency distribution and find the midpoints of each class interval. Represent the midpoints along x-axis and frequencies along the y-axis. Plot the points corresponding to the frequency at each midpoint. Join these points, using lines in order. To complete the polygon, join the point at each end immediately to the lower- or higher-class marks on the x-axis. Class Interval 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 Frequency 4 6 8 10 12 14 7 5 Assignment +Project Presentation

2 4. The table below gives information about the percentage of the population living in urban areas in the world and in different continents. Find the appropriate graph? Continent World Asia Africa Europe North America South America Oceania 1950 34 17 15 50 65 45 40 2020 64 51 43 75 82 79 68 2030 71 55 51 78 87 88 80 5. The average amount of sleep, in hours, that 30 students in class 9 get on a weekday is given in the table below. i. Construct a frequency table for the data. ii. Draw a histogram for the data. iii. Calculate the percentage of students who get an average of at least 8 hours of sleep on a weekday. 8 7 6 5 8 9 5 6 10 8 7 7 8 5 6 9 5 7 10 6 6 6 7 5 9 8 6 8 9 7 6. The table below shows the number of copies of a magazine distributed to households in each year from 2015 to 2019. Use a bar graph to illustrate the above information. Year 2015 2016 2017 2018 2019 Number of copies (in thousands) 250 280 300 320 275

3 7. The table below shows the number of students who scored a distinction in science or mathematics. Use a double bar graph to illustrate the above information. Class 9A 9B 9C 9D 9E Number of students who score a distinction in science 11 11 15 12 20 Number of students who score a distinction in Mathematics 12 13 12 11 15 8. The table shows the distribution of ages of 100 people attending a school concert. The ages are given correct to the last birthday. Construct a histogram to illustrate the data? Age (years) 0-20 20-40 40-60 60-80 80-100 Frequency 43 24 17 10 6 9. The table shows the lengths, mm, of 40 leaves taken from various rubber trees. Using the intervals 120-130, 130-140 and so on, construct a frequency table for the data and draw a frequency polygon. Make a box plot for the given data? 10. 134 151 156 169 154 140 164 137 168 137 165 153 155 125 124 129 135 140 167 141 153 145 145 164 136 138 125 143 134 127 166 155 168 167 137 152 147 141 157 132

1 MAT 105 – BASIC PROBABILITY AND STATISTICS Assignment +Project Presentation Instructions: Excel can be used to draw graphs. Interpretation of diagrams should be clearly explained. Assignment should be completed by 31st October 2023 The presentation will be held in the first week of November. Maximum Marks: (10+10) Date:20/10/2023 1. The following table gives the population million in of Oman. Draw a simple bar chart. Years 1998 1999 2000 2001 2002 Population 40 45 60 64 68 2. The following table gives the imports and exports of Oman for year 1992-93 to 1996-97. Draw a multiple bar chart. Years Imports Exports 1992-93 8 4 1993-94 10 6 1994-95 12 9 1995-96 18 13 1996-97 20 17 3. Frequency polygon Graph Here are the steps to follow to find the frequency distribution of a frequency polygon and it is represented in a graphical way. Obtain the frequency distribution and find the midpoints of each class interval. Represent the midpoints along x-axis and frequencies along the y-axis. Plot the points corresponding to the frequency at each midpoint. Join these points, using lines in order. To complete the polygon, join the point at each end immediately to the lower- or higher-class marks on the x-axis. Class Interval 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 Frequency 4 6 8 10 12 14 7 5 Assignment +Project Presentation

2 4. The table below gives information about the percentage of the population living in urban areas in the world and in different continents. Find the appropriate graph? Continent World Asia Africa Europe North America South America Oceania 1950 34 17 15 50 65 45 40 2020 64 51 43 75 82 79 68 2030 71 55 51 78 87 88 80 5. The average amount of sleep, in hours, that 30 students in class 9 get on a weekday is given in the table below. i. Construct a frequency table for the data. ii. Draw a histogram for the data. iii. Calculate the percentage of students who get an average of at least 8 hours of sleep on a weekday. 8 7 6 5 8 9 5 6 10 8 7 7 8 5 6 9 5 7 10 6 6 6 7 5 9 8 6 8 9 7 6. The table below shows the number of copies of a magazine distributed to households in each year from 2015 to 2019. Use a bar graph to illustrate the above information. Year 2015 2016 2017 2018 2019 Number of copies (in thousands) 250 280 300 320 275

3 7. The table below shows the number of students who scored a distinction in science or mathematics. Use a double bar graph to illustrate the above information. Class 9A 9B 9C 9D 9E Number of students who score a distinction in science 11 11 15 12 20 Number of students who score a distinction in Mathematics 12 13 12 11 15 8. The table shows the distribution of ages of 100 people attending a school concert. The ages are given correct to the last birthday. Construct a histogram to illustrate the data? Age (years) 0-20 20-40 40-60 60-80 80-100 Frequency 43 24 17 10 6 9. The table shows the lengths, mm, of 40 leaves taken from various rubber trees. Using the intervals 120-130, 130-140 and so on, construct a frequency table for the data and draw a frequency polygon. Make a box plot for the given data? 10. 134 151 156 169 154 140 164 137 168 137 165 153 155 125 124 129 135 140 167 141 153 145 145 164 136 138 125 143 134 127 166 155 168 167 137 152 147 141 157 132