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# Gaussians An important function in statistics is the ISBN: 9780321570567 2

## Solution for problem 75E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 75E

Gaussians An important function in statistics is the Gaussian (or normal distribution, or bell-shaped curve), .

a. Graph the Gaussian for a =0.5, 1, and 2.

b. Given that , compute the area under the curves in part (a).

c. Complete the square to evaluate , where a > 0, b, and c are real numbers.

Step-by-Step Solution:
Step 1 of 3

Problem 75E

Gaussians An important function in statistics is the Gaussian (or normal distribution, or bell-shaped curve), .

a. Graph the Gaussian for a =0.5, 1, and 2.

b. Given that , compute the area under the curves in part (a).

c. Complete the square to evaluate , where a > 0, b, and c are real numbers.

Step-1;

Given gaussian function is; f(x) = .

Now , we have to sketch the  graph the Gaussian for a = 0.5, 1, and 2.

If a = 0.5 , then  the  graph of  the Gaussian function y= is; If a = 1 , then  the  graph of  the Gaussian function y= is ; If a = 2 , then  the  graph of  the Gaussian function y= is ; Step-2;

b)     Given that dx = Now , we have to find out the area under the curves in part (a).

We know that dx = means area under the curve between , and x -axis is .

Therefore, the area under the curve between , and x -axis is; dx =  .Since a = 0.5

Thus ,  the area under the curve between , and x -axis is; dx =  .Since a = 1

Therefore ,  the area under the curve between , and x -axis is; dx = Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

The answer to “Gaussians An important function in statistics is the Gaussian (or normal distribution, or bell-shaped curve), .a. Graph the Gaussian for a =0.5, 1, and 2.________________b. Given that , compute the area under the curves in part (a).________________c. Complete the square to evaluate , where a > 0, b, and c are real numbers.” is broken down into a number of easy to follow steps, and 53 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: gaussian, given, complete, compute, curve. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 75E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 75E from 7.7 chapter was answered, more than 258 students have viewed the full step-by-step answer.

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