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 geographicalarea. 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 housepayments in your area? What factors need to be considered when looking at housepayment data?BonusThe average charity contribution is $592. If charity contributions are normally distributedwith 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 followingprobabilities.11. Find the probability there will be at least 24 tornadoes in a year.24-2890952930566400.79214765.36104735612. Find the probability there will be at most 30 tornadoes in a year.307673796782310.345.363307848.8713. In a given year, the state had 37 tornadoes recorded. Would you consider this to be anunlikely event? Why or why not?.8990The average price of a new computer is $1449. If computer prices are approximatelynormally distributed with a standard deviation of $100, find the followingpercentages.14. Find the percentage of computers that cost more than $1700.1700%3D2.519939610015. The most expensive 10% of computers cost more than what amount?

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Answered: The average monthly mortgage (house)…

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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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.

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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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