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The following table gives the distribution for a discrete random variable X. xPX = x] 0.2 3 I 1 1 3 0.3 0.3 0.2 Question 4 What is the expected value (mean) μx of X? Please enter your answer rounded to 3 decimal places. Question 5 What is the variance of the random variable X? Please enter your answer rounded to 3 decimal places.

The following table gives the distribution for a discrete random variable X. xPX = x] 0.2 3 I 1 1 3 0.3 0.3 0.2 Question 4 What is the expected value (mean) μx of X? Please enter your answer rounded to 3 decimal places. Question 5 What is the variance of the random variable X? Please enter your answer rounded to 3 decimal places.

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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The following table gives the distribution for a discrete random variable X. x|P|X = x] 0.2 1 1 3 0.3 0.3 0.2 Question 4 What is the expected value (mean) μx of X? Please enter your answer rounded to 3 decimal places. Question 5 31 What is the variance of the random variable X? Please enter your answer rounded to 3 decimal places.
Transcribed Image Text:The following table gives the distribution for a discrete random variable X. x|P|X = x] 0.2 1 1 3 0.3 0.3 0.2 Question 4 What is the expected value (mean) μx of X? Please enter your answer rounded to 3 decimal places. Question 5 31 What is the variance of the random variable X? Please enter your answer rounded to 3 decimal places.
Question 6 Suppose we sample N = 30 values (iid) from the distribution for X. For the sample average of a sample of this sort, what is its standard deviation, ox? Please enter your answer rounded to 3 decimal places. Question 7 While you know the distribution of X, suppose someone else does not, but they are testing the null hypothesis Ho : x = 0.2. From a sample of N = 30 observations, this other person obtain a sample average of = (negative two-thirds). You are able to share with them the exact value for which you calculated in Question 06. What do you know will be the conclusion of this person's hypothesis test if they use a significance level of α = 0.05? Correctly failing to reject the null hypothesis Incorrectly failing to reject the null hypothesis (Type II Error) Correctly rejecting their null hypothesis Incorrectly rejecting the null hypothesis (Type 1 Error)
Transcribed Image Text:Question 6 Suppose we sample N = 30 values (iid) from the distribution for X. For the sample average of a sample of this sort, what is its standard deviation, ox? Please enter your answer rounded to 3 decimal places. Question 7 While you know the distribution of X, suppose someone else does not, but they are testing the null hypothesis Ho : x = 0.2. From a sample of N = 30 observations, this other person obtain a sample average of = (negative two-thirds). You are able to share with them the exact value for which you calculated in Question 06. What do you know will be the conclusion of this person's hypothesis test if they use a significance level of α = 0.05? Correctly failing to reject the null hypothesis Incorrectly failing to reject the null hypothesis (Type II Error) Correctly rejecting their null hypothesis Incorrectly rejecting the null hypothesis (Type 1 Error)
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