1.Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a standard deviation of 0.5 hours. Every day, Ian stays in school for 5.5 hours. What proportion of students stay fewer than 5.5 hours? 2.For a normally distributed random variable, the standard deviation is 3.7. What is the mean if 10% of the distribution is less than 31? 3.Scores of an achievement test shows that it follows a normal distribution. Its mean is 78 with a standard deviation of 8. Find the interval wherein the middle 80% of the scores lie. 4. Assume that family incomes are normally distributed with mean 30,000php and a standard deviation of 10,000php. If the poverty level is 10,000php, find the percentage of the population that lies in poverty. 5.In 2018, the braking distance of Toyota Camry cars on a wet surface follows a normal distribution. Its mean is 122 feet with a standard deviation of 20 feet. What is the probability that a randomly selected Toyota Camry will have a braking distance of more than 130 feet?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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1.Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a standard deviation of 0.5 hours. Every day, Ian stays in school for 5.5 hours. What proportion of students stay fewer than 5.5 hours?

2.For a normally distributed random variable, the standard deviation is 3.7. What is the mean if 10% of the distribution is less than 31?

3.Scores of an achievement test shows that it follows a normal distribution. Its mean is 78 with a standard deviation of 8. Find the interval wherein the middle 80% of the scores lie.

4. Assume that family incomes are normally distributed with mean 30,000php and a standard deviation of 10,000php. If the poverty level is 10,000php, find the percentage of the population that lies in poverty.

5.In 2018, the braking distance of Toyota Camry cars on a wet surface follows a normal distribution. Its mean is 122 feet with a standard deviation of 20 feet. What is the probability that a randomly selected Toyota Camry will have a braking distance of more than 130 feet?

stahdard deviation of 10 minutes. If you want to be 99% certain that you will not
4.08
be late for your first 8:00 am class, what is the latest time you should leave home?
Assume that travel time is normally distributed.
Application (Creativity)
А.
Find the areas of each of the following z-scores:
Z-Scores
1.
0.99
IS
2.
-0.52
ng
3.
0.66
4.
1.87
5.
-2.58
6.
3.16
= 0.78
%3D
7.
-0.12
added.
8.
-1.25
a has a
30 and
9.
2.09
10. 0.50
В.
Calculate the probabilities of the following:
is 29 with
1.
P(0 < z < 1.44)
he should
Transcribed Image Text:stahdard deviation of 10 minutes. If you want to be 99% certain that you will not 4.08 be late for your first 8:00 am class, what is the latest time you should leave home? Assume that travel time is normally distributed. Application (Creativity) А. Find the areas of each of the following z-scores: Z-Scores 1. 0.99 IS 2. -0.52 ng 3. 0.66 4. 1.87 5. -2.58 6. 3.16 = 0.78 %3D 7. -0.12 added. 8. -1.25 a has a 30 and 9. 2.09 10. 0.50 В. Calculate the probabilities of the following: is 29 with 1. P(0 < z < 1.44) he should
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