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
Section: Chapter Questions
Problem 1P
icon
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.
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?
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?
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman