The weights of a certain dog breed are approximately normally distributed with a mean of 51 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) Find the percentage of dogs of this breed that weigh less than 51 pounds. b) Find the percentage of dogs of this breed that weigh less than 46 pounds. c) Find the percentage of dogs of this breed that weigh more than 46 pounds. % % %

MATLAB: An Introduction with Applications
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**Question 10**

The weights of a certain dog breed are approximately normally distributed with a mean of 51 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.

a) Find the percentage of dogs of this breed that weigh less than 51 pounds.  
[Textbox for answer] %

b) Find the percentage of dogs of this breed that weigh less than 46 pounds.  
[Textbox for answer] %

c) Find the percentage of dogs of this breed that weigh more than 46 pounds.  
[Textbox for answer] %

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Transcribed Image Text:**Question 10** The weights of a certain dog breed are approximately normally distributed with a mean of 51 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) Find the percentage of dogs of this breed that weigh less than 51 pounds. [Textbox for answer] % b) Find the percentage of dogs of this breed that weigh less than 46 pounds. [Textbox for answer] % c) Find the percentage of dogs of this breed that weigh more than 46 pounds. [Textbox for answer] % [Next Question Button]
Expert Solution
Step 1

Let X denotes the weights of a certain dog breed. Given that X follows approximately Nμ=51, σ=6.1.

We use Desmos Graphing Calculator to answer the given questions.

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