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Sample sum standard deviation is oy oy is unknown If X has a uniform distribution, then Y ha Ouniform distribution. Ounknown distribution. O normal distribution. approximately normal distribution If X has a unknown distribution, then Y Ounknown distribution. approximately normal distribution normal dhstribution. Puniform distribution. If X has a normal distribution, then Y ha

Sample sum standard deviation is oy oy is unknown If X has a uniform distribution, then Y ha Ouniform distribution. Ounknown distribution. O normal distribution. approximately normal distribution If X has a unknown distribution, then Y Ounknown distribution. approximately normal distribution normal dhstribution. Puniform distribution. If X has a normal distribution, then Y ha

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let \( X \) be a random variable with mean 34 and standard deviation 2.42. Let \( Y \) be the sample sum random variable of size 49. So, \( Y \) is the sum of every sample of size 49 taken from \( X \). - Sample sum mean is \( \mu_y = \) _______ - \( \mu_y \) is unknown and - Sample sum standard deviation is \( \sigma_y = \) _______ - \( \sigma_y \) is unknown --- If \( X \) has a uniform distribution, then \( Y \) has an: - \( \bigcirc \) uniform distribution. - \( \bigcirc \) unknown distribution. - \( \bigcirc \) normal distribution. - \( \bigcirc \) approximately normal distribution. --- If \( X \) has an unknown distribution, then \( Y \) has an: - \( \bigcirc \) unknown distribution. - \( \bigcirc \) approximately normal distribution. - \( \bigcirc \) normal distribution. - \( \bigcirc \) uniform distribution. --- If \( X \) has a normal distribution, then \( Y \) has an: Text field for input: "Type here to search"
Transcribed Image Text:Let \( X \) be a random variable with mean 34 and standard deviation 2.42. Let \( Y \) be the sample sum random variable of size 49. So, \( Y \) is the sum of every sample of size 49 taken from \( X \). - Sample sum mean is \( \mu_y = \) _______ - \( \mu_y \) is unknown and - Sample sum standard deviation is \( \sigma_y = \) _______ - \( \sigma_y \) is unknown --- If \( X \) has a uniform distribution, then \( Y \) has an: - \( \bigcirc \) uniform distribution. - \( \bigcirc \) unknown distribution. - \( \bigcirc \) normal distribution. - \( \bigcirc \) approximately normal distribution. --- If \( X \) has an unknown distribution, then \( Y \) has an: - \( \bigcirc \) unknown distribution. - \( \bigcirc \) approximately normal distribution. - \( \bigcirc \) normal distribution. - \( \bigcirc \) uniform distribution. --- If \( X \) has a normal distribution, then \( Y \) has an: Text field for input: "Type here to search"
**Understanding Probability Distributions** 1. **If X has an unknown distribution, then Y has an:** - ○ unknown distribution. - ○ approximately normal distribution. - ○ normal distribution. - ○ uniform distribution. 2. **If X has a normal distribution, then Y has an:** - ○ normal distribution. - ○ approximately normal distribution. - ○ uniform distribution. - ○ unknown distribution. This content focuses on the relationship between the distributions of two variables, X and Y. The type of distribution that Y has depends on the type of distribution X has. Understanding these relationships is fundamental in statistics, particularly in assessing how changes in one variable might affect another.
Transcribed Image Text:**Understanding Probability Distributions** 1. **If X has an unknown distribution, then Y has an:** - ○ unknown distribution. - ○ approximately normal distribution. - ○ normal distribution. - ○ uniform distribution. 2. **If X has a normal distribution, then Y has an:** - ○ normal distribution. - ○ approximately normal distribution. - ○ uniform distribution. - ○ unknown distribution. This content focuses on the relationship between the distributions of two variables, X and Y. The type of distribution that Y has depends on the type of distribution X has. Understanding these relationships is fundamental in statistics, particularly in assessing how changes in one variable might affect another.
Expert Solution
Step 1

Given

X is a random variable with a mean of 34 and a standard deviation of 2.42

Y be the sum of every sample taken from X of a sample size of 49 

Examine the Y 

Find the

  • mean 
  • Standard deviation

If X follows uniform then what is the distribution of Y

If X is unknown distribution what is the distribution of Y

If X is normal what is the distribution of Y

 

 

 

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