Wilmu MAT205 Projects Latest 2022 June (Full)
MAT205 Intro Survey of Mathematics
Week 3 Project
Probability Island
You will collect the data for the population of an island community. Then you will use and evaluate probability models. You will be using this data for the next parts of your project.
Your ship is carrying 150 passengers 75 adult females and 75 adult males all in good health. An intense storm occurs and your ship hits rocks and wrecks off the coast of a deserted island in the Pacific Ocean. This island has the necessary natural resources for human survival.
The ages of your passengers are recorded in the table below.
MAT205 Intro Survey of Mathematics
Week 7 Project
Statistics Island
Directions
For all calculations, show your workand/or explain how you used the calculator to compute.
1.Your population is thriving on your island. The data you have collected now needs to be displayed and analyzed. Use the charts you created in the Probability Island project to complete the table below.Use the total number of births per year to fill in chart 3. Round to two decimal places if necessary
Chart 3 – Births
Mean
Median
Mode
Range
Standard Deviation
2. Is your standard deviation for a population or a sample? Why did you select that answer?
3. Find the following values using your data from chart 1 on the first project.
Chart 4
Lowest value
First Quartile (Q1)
Median (Q2)
Third Quartile (Q3)
Highest value
Interquartile range
4. Create a box and whisker plot using the answers from question 3. Be sure to include the number line and label it.
5. Label Graph 1. Using the mean and standard deviation from Chart 3, label the mean. Then label up to 3 standard deviations above and below the mean.
Graph 1
6. a. Find the probability of the number of births annually being less than 1 bycalculating the zscore using the formula the formula z=(xμ)/σ.
Then use the Area Under a Normal Distribution Curve tableor your calculator (Normalcdf).
b. Find the probability of the number of births annually being greater than 2. Calculate the zscore. Then find the probability by using the Area Under a Normal Distribution Curve table or your calculator.
MAT205 Intro Survey of Mathematics
Week 11 Project
Graphing Island
Directions
Your population is thriving on your island. The data you have collected now needs to be displayed and further analyzed. Use the charts you created in the probability portion in weeks 13for this part of the project. Always show your calculations or explain how you used technology. Take a picture of your calculator if you used that or submit your excel worksheet.
1. a. Create a Scatter Plot using the total population for each of the years from the Probability Island. The horizontal axis should always represent time.
b. Use linear regression or a trendline in Excel to find the equation of the best fit line.
c. Find the Correlation Coefficient. Explain what this means for your data.
d. Use the equation to predict the population in year 20.
2. a.Use the first and last data points of the total population for each of the years from the Probability Island to find a linear equationto model the data.
b. Graph the equation.
c. Compare the slope of the Linear Regression Line of question 1 with the slope of this line. Provide an explanation of why they may similar or differ.
d. Use the equation to predict the population in year 20.
3. a. Assume that (0,150) represents the vertex of a quadratic equation. Find a quadratic equation using thetenthyear population as another point.
b. Graph the equation.
c. Use the equation to predict the population in year 20.
4. Using the equation y = 2x2 9x +4,explain and demonstrate how to find the xintercepts, the yintercept, the axis of symmetry, and the vertex of a quadratic equation.

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