Question 7The test Score of a Math class with 800 students are distributednormally with a mean of 75 and a standard deviation of 7.a) What percentage of a class has a test score between 68 and 82?b) Approximately how many students have a test score between 61and 89?c) What is the probability that a student chosen at random has atest score between 54 and 75?d) Approximately how many students have a test score greaterthan or equal to 96?

GivenMean(μ)=75standard deviation(σ)=7No.of students with test score of a Math class =800

Answered: The test Score of a Math class with 800…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

4.Read and answer please this is a review question
Fifteen randomly selected college students were asked to state the number of hours they slept the night before. The resulting data are: 6 16 7 8 7 796 3 11 9 15 4 7 9 a) Find the mean. b) Find the median. c) Find the standard deviation. d) According to Chebysev's Theorem, at least 75% of the times will fall between what two amounts? Is the theorem accurate for this set of data? Why of Why not? e) Are any of the reported hours "unusually" high? Are any of the reported hours unusually low?
The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,192. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 44,000 12,192 b. Find the probability that a randomly selected acre in the forest has fewer than 47,638 ants. c. Find the probability that a randomly selected acre has between 45,935 and 56,143 ants. d. Find the first quartile. ants (round your answer to a whole number)
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
Consider a population of 800 values that are normally distributed with a mean of 80 and standard deviation of 5. To the nearest integer, how many values are between 75 and 83? a) 454 b) 567 c) 665 d) 756
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
7) At one college, GPA's have a distribution that is unimodal and symmetric with a mean of 2.6 and a standard deviation of 0.5. What is the range of GPA's from one standard deviation below the mean to one standard deviation above the mean? A) 2.6 to 3.1 B) 2.1 to 3.1 C) 0.5 to 3.1 D) 2.1 to 2.6
1. The average number of acres burned by forest and range fires in a large New Mexico county is 4,255 acres per year, with a standard deviation of 744 acres. The distribution of the number of acres burned is normal. a.) What is the probability that between 2,540 and 4,190 acres will be burned in any given year? b.)What number of burnt acres corresponds to the 38th percentile?
How can I analyze these graphs?
Use the fact that IQ score are normally-distributed with a meal of 100, standard deviation of 15 to answer the following questions. a)what percentile is an IQ score of 120? b)what IQ score is the 99th percentile? c)Find the IQ scores that cut off the middle 50% of IQ score. d) would it be unusual to have an IQ score of 132?
24)
The average score on a communications exam was found to be 82 with a standard deviation of 5 points. Assuming these scores were normally distributed, what is the 10th percentile of these exams? a) 88.4 b) 1.28 c) 75.6 d) -1.28

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS