T Gaussians An important function in statistics is the Gaussian (or normal distribution, or bell-shaped curve), ƒ(x) = e-az²¸ a. Graph the Gaussian for a = 0.5, 1, and 2. compute the area under the Lo curves in part (a). c. Complete the square to evaluate a > 0, b, and c are real numbers. b. Given that -az² dx = 10 e¬(az²+bx+c) dx, where

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Gaussians An important function in statistics is the Gaussian (or
normal distribution, or bell-shaped curve), f(x) = e-ar²
a. Graph the Gaussian for a = 0.5, 1, and 2.
i fove
curves in part (a).
c. Complete the square to evaluate
a > 0, b, and c are real numbers.
b. Given that
-ax²
dx
=
π
compute the area under the
Lo
e-(az²+bx+c) dx, where
Transcribed Image Text:Gaussians An important function in statistics is the Gaussian (or normal distribution, or bell-shaped curve), f(x) = e-ar² a. Graph the Gaussian for a = 0.5, 1, and 2. i fove curves in part (a). c. Complete the square to evaluate a > 0, b, and c are real numbers. b. Given that -ax² dx = π compute the area under the Lo e-(az²+bx+c) dx, where
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