Given a normal distribution with μ = 102 and o=10, and given you select a sample of n = 4, complete parts (a) through (d).a. What is the probability that X is less than 90?P(X<90) = 0.0082(Type an integer or decimal rounded to four decimal places as needed.)b. What is the probability that X is between 90 and 91.5?P(90 < X<91.5) = 0.0097(Type an integer or decimal rounded to four decimal places as needed.)c. What is the probability that X is above 102.2?P(X> 102.2) = 0.4840(Type an integer or decimal rounded to four decimal places as needed.)d. There is a 69% chance that X is above what value?X=(Type an integer or decimal rounded to two decimal places as needed.)

Mean(µ) = 102Standard deviations (σ) = 10n = 4

Answered: Given a normal distribution with μ =…

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

The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 8 mL. Suppose that 49 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 61 b. What is the distribution of ? N( 61 49 c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60 mL and 61.3 mL. 0.0657 d. For the group of 49 pancake eaters, find the probability that the average amount of syrup is between 60 mL and 61.3 mL. | 0.4338 e. For part d), is the assumption that the distribution is normal necessary? YesO No o
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)
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:
8. For a normal distribution with u = 500 and o = 100, find the following values: a. What X value separates the highest 10% of the distribution from the rest of the scores? b. What X values form the boundaries for the middle 60% of the distribution? %3D c. What is the probability of randomly selecting a score greater than X = 475?
The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 10 mL. Suppose that 15 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 57.7 mL and 61.3 mL. d. For the group of 15 pancake eaters, find the probability that the average amount of syrup is between 57.7 ml and 61.3 mL. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
This is a normal distribution problem
In a certain normal distribution, the mean is 50. If an observation of 30 is randomly selected, the z-score for this observation will be O Positive O Not enough information to tell O 50 O Negative
1. If Z is a standard normal variable, find the probability that Z lies between 0.25 and 1.67. Draw diagram for normal distribution, define the desired probability as shaded area, use Table to calculate this probability, and circle one of the multiple choice answers. P(0.25< Z < 1.67) =A) – 0.3538 B) 0.9525 C) 0.3538 D) 1.5512
A population has a normal distribution. A sample size of n is selected from this popuiation. Descriee theshape of the sampling distribution Of the sampre mean for eaen of the foliaung cars. a.73D23 b.n=450
Title A random sample of 36 observations has been drawn from a normal distribution... Description </o:p> A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<></53.>
The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 7 mL. Suppose that 15 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of æ? a - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60.1 mL and 61.8 mL. d. For the group of 15 pancake eaters, find the probability that the average amount of syrup is between 60.1 mL and 61.8 mL. e. For part d), is the assumption that the distribution is normal necessary? O Nol NoO Yes
X 11. The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 68 and 69 inches? IX

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