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Among all the income tax forms filed in a certain year, the mean tax paid was $2000 and the standard deviation was $500. In addition, for 10% of all the tax forms, the tax paid was greater than $3000 each. A random sample of 625 tax forms is drawn.   Questions Question 5, Part a:  What is the probability that the average tax paid on the sampled forms is greater than $1985?   Question 5, Part b: What is the probability that in more than 60 of the sampled forms, the tax paid is greater than $3000 each?

Among all the income tax forms filed in a certain year, the mean tax paid was $2000 and the standard deviation was $500. In addition, for 10% of all the tax forms, the tax paid was greater than $3000 each. A random sample of 625 tax forms is drawn.   Questions Question 5, Part a:  What is the probability that the average tax paid on the sampled forms is greater than $1985?   Question 5, Part b: What is the probability that in more than 60 of the sampled forms, the tax paid is greater than $3000 each?

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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Among all the income tax forms filed in a certain year, the mean tax paid was $2000 and the standard deviation was $500. In addition, for 10% of all the tax forms, the tax paid was greater than $3000 each. A random sample of 625 tax forms is drawn.

 

Questions
Question 5, Part a: 
What is the probability that the average tax paid on the sampled forms is greater than $1985?

 

Question 5, Part b:
What is the probability that in more than 60 of the sampled forms, the tax paid is greater than $3000 each?

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