### Problem StatementAssume that the random variable $ X $ is normally distributed, with a mean $ \mu = 62 $ and standard deviation $ \sigma = 10 $. Compute the probability $ P(55 < X < 70) $. Be sure to draw a normal curve with the area corresponding to the probability shaded.### Resources- [Click here to view the standard normal distribution table (page 1).](#)- [Click here to view the standard normal distribution table (page 2).](#)### QuestionDraw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below:- **Option A**: Graph showing a normal distribution with the area between $ X = 55 $ and $ X = 70 $ shaded, centered around the mean.- **Option B**: Graph showing a normal distribution, shaded area extending slightly beyond $ X = 70 $.- **Option C**: Graph showing an incorrect range with the area shaded symmetrically around the mean.- **Option D**: Graph showing a normal distribution with the area between $ X = 55 $ and $ X = 70 $, but with less shading than option A.When interpreting each graph, ensure to check if the shaded part accurately represents the probability $ P(55 < X < 70) $.

Answered: Image /qna-images/answer/21823d5d-9bbb-4a76-a14d-c16b79a638cf.jpg

Answered: Assume that the random variable X is…

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

Let X = number of miles a family travels for summer vacation. X follows a normal distribution with a mean of 311 miles and standard deviation of 232 miles. If a family traveled 600 miles, how many standard deviations are they away from the mean? Calculate the following probabilities
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $234 with a standard deviation of $67. Random samples of size 26 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is ??
Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table Click to view page 2 of the table The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
Create a column of numbers going from 0 to 30. in binomial distrubution with n=30 and p=0.5. Remember that the variance is the expected value of the squared deviations from the mean. In the next column, compute the product of the probability of each outcome and the squared deviation from the mean. Place the sum of the 31 values in the cell next to the cell in which you have computed the variance as a function of the parameters.
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $234 with a standard deviation of $57. Random samples of size 26 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 88 and 122. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 88 and 122 is (Type an integer or decimal rounded to four decimal places as needed.) C
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $229 with a standard deviation of $63. Random samples of size 24 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 123. Click to view page 1 of the table Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 123 is (Type an integer or decimal rounded to four decimal places as needed.). THE
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $68. Random samples of size 21 are drawn from this population and the mean of each sample is determined.
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $69. Random samples of size 31 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is nothing.
Assume that IQ scores are normally distributed, with a mean of 100 points and a standard deviation of 14 points. If 50 people are chosen at random, what is the probability that the sample mean of IQ scores will be between 98 and 102?P(98 ≤ x ≤ 102) = ?

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

Assume that the random variable X is normally distributed, with mean = 62 and standard deviation a= 10. Compute the probability P(55