The average monthly mortgage (house) payment is $982 in a certain geographical area. If the payments are normally distributed with a standard deviation of $180, find the following probabilities. 16. A randomly selected house payment is more than $1000. 17. A randomly selected house payment is more than $1450.
The average monthly mortgage (house) payment is $982 in a certain geographical area. If the payments are normally distributed with a standard deviation of $180, find the following probabilities. 16. A randomly selected house payment is more than $1000. 17. A randomly selected house payment is more than $1450.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
Related questions
Question
Can you solve 15, 16,17,18, and 19 but also explain how you got your answers. Also use the standard normal distribution table I would greatly appreciate it ?
![The average monthly mortgage (house) payment is $982 in a certain geographical
area. If the payments are normally distributed with a standard deviation of $180,
find the following probabilities.
16. A randomly selected house payment is more than $1000.
17. A randomly selected house payment is more than $1450.
18. A randomly selected house payment is between $800 and $1150.
19. Your house payment is $750 per month. How does this compare to the other house
payments in your area? What factors need to be considered when looking at house
payment data?
Bonus
The average charity contribution is $592. If charity contributions are normally distributed
with a standard deviation of $103, find the limits for the middle 50% of contributions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6b0f4c3-473b-41b3-b307-278fb02a3824%2F2d549713-cdac-4cae-aa8e-037f01f27ce6%2Fragyl4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The average monthly mortgage (house) payment is $982 in a certain geographical
area. If the payments are normally distributed with a standard deviation of $180,
find the following probabilities.
16. A randomly selected house payment is more than $1000.
17. A randomly selected house payment is more than $1450.
18. A randomly selected house payment is between $800 and $1150.
19. Your house payment is $750 per month. How does this compare to the other house
payments in your area? What factors need to be considered when looking at house
payment data?
Bonus
The average charity contribution is $592. If charity contributions are normally distributed
with a standard deviation of $103, find the limits for the middle 50% of contributions.
![The annual number of tornadoes in a Midwestern state is a random variable with u =
28.2 and o = 5.3. If the random variable is normally distributed, find the following
probabilities.
11. Find the probability there will be at least 24 tornadoes in a year.
24-28
9095
2930
56640
0.79
21476
5.3
6104
7356
12. Find the probability there will be at most 30 tornadoes in a year.
30
7673
7967
8231
0.34
5.3
63307
848
.87
13. In a given year, the state had 37 tornadoes recorded. Would you consider this to be an
unlikely event? Why or why not?
.89
90
The average price of a new computer is $1449. If computer prices are approximately
normally distributed with a standard deviation of $100, find the following
percentages.
14. Find the percentage of computers that cost more than $1700.
1700
%3D
2.51
99396
100
15. The most expensive 10% of computers cost more than what amount?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6b0f4c3-473b-41b3-b307-278fb02a3824%2F2d549713-cdac-4cae-aa8e-037f01f27ce6%2F1kzqh0h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The annual number of tornadoes in a Midwestern state is a random variable with u =
28.2 and o = 5.3. If the random variable is normally distributed, find the following
probabilities.
11. Find the probability there will be at least 24 tornadoes in a year.
24-28
9095
2930
56640
0.79
21476
5.3
6104
7356
12. Find the probability there will be at most 30 tornadoes in a year.
30
7673
7967
8231
0.34
5.3
63307
848
.87
13. In a given year, the state had 37 tornadoes recorded. Would you consider this to be an
unlikely event? Why or why not?
.89
90
The average price of a new computer is $1449. If computer prices are approximately
normally distributed with a standard deviation of $100, find the following
percentages.
14. Find the percentage of computers that cost more than $1700.
1700
%3D
2.51
99396
100
15. The most expensive 10% of computers cost more than what amount?
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