Math Problem Statement
Set Up the Axes: Draw a big "+" shape. Label the horizontal line (x-axis) at the bottom. Label the vertical line (y-axis) on the left. On the x-axis, mark 6, 7, and 8. On the y-axis, write numbers: 0, 1/4, 1/2. Draw Probability Density Bars: Draw a tall bar over 6 that goes up to 1/2. Draw another bar over 7 that also goes up to 1/2. Draw a third bar over 8 that reaches up to 1/2. Label Your Graph: Write "6" on the first bar, "7" on the second, and "8" on the third. At the top write: "Uniform Distribution of Guests at a Birthday Party." Label the x-axis: "Number of Guests." Label the y-axis: "Probability Density." Finding the Probability of 7 or More Guests: Calculate Probability: The part from 7 to 8 is 1 unit wide. Total width from 6 to 8 is 2 units. Use the bar height (1/2) and the width (1): Probability = Height x Width = (1/2) x (1) = 1/2. So, there is a 50% chance of having 7 or more guests. Make the graph
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Uniform Distribution
Formulas
Probability = Height x Width
Theorems
Uniform Distribution Theorem
Suitable Grade Level
Grades 7-9
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