Questions: The population in a swarm distribution with wang 20 and standard deviation 5
f(x) = 1 / (σ√(2π)) * e^(-(x-μ)^2 / (2σ^2))
Transcript text: The population in a swarm distribution with wang 20 and standard deviation 5
$f(x)=\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}$
Solution
Solution Steps
Step 1: Identify the given functions
The problem provides two functions, \( f(x) \) and \( g(x) \), which are graphed. The goal is to find the value of \( x \) where \( f(x) = g(x) \).
Step 2: Locate the intersection points
Examine the graph to find the points where the curves of \( f(x) \) and \( g(x) \) intersect. These points represent the values of \( x \) where \( f(x) = g(x) \).
Step 3: Read the x-coordinates of the intersection points
From the graph, identify the x-coordinates of the intersection points. These x-coordinates are the solutions to the equation \( f(x) = g(x) \).
Final Answer
The x-coordinates where \( f(x) = g(x) \) are \( x = -2 \) and \( x = 2 \).