Given a normal distribution with µ = 101 and o = 10, and given you select a sample of n = 25, complete parts (a) through (d)......a. What is the probability that X is less than 95?P(X< 95) = 0.0013(Type an integer or decimal rounded to four decimal places as needed.)b. What is the probability that X is between 95 and 96.5?P(95 < X< 96.5) = U(Type an integer or decimal rounded to four decimal places as needed.)

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

1. Scores from a questionnaire measuring social anxiety form a normal distribution with a mean of m = 50 and a standard deviation of s = 10. What is the probability of obtaining a sample mean greater than X(sample mean) = 53, for a random sample of n = 4 people? a. .2743 b. .2776 c. .2578 d. .2611
For a normal distribution with a mean of µ=100 and a standard deviation of σ= 10, find each of the following probabilities or X. Please draw the normal curve and show region; body or tail. a. What X value (score) would separate the highest 10% of scores from the rest of the distribution? b. If we were to draw a sample of n = 36 from this population, what's the probability that the mean would be less than 101? c. If we were to draw a sample of n = 36 from this population, what's the probability that the mean will be greater than 105?
6.2 The Standard Normal Distribution Table: Z-score and Probability In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.7 inches, and standard deviation of 5.1 inches. What is the probability that the height of a randomly chosen child is between 40.95 and 43.35 inches? Probability = (Use 4 decimal places.)
38)
2. Given the probability (or area), use the standard normal table or calculator to find the following z-score, P(z > a) = 0.0985 %3D a = ?
1. Consider a normal distribution with mean u mean. Calculate 12. Let ī be the sample P(i > 36) for each of the following cases: (a) n = 9, a = 90; (b) n = 9, s = 102; (c) n = 16, o = 80; and (d) n = 16, s = 71.6.
1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.
d) For a standard normal distribution, find the probability a score is lower than 2.37 standard deviations above the mean? e) For a standard normal distribution, find the probability a score is between the mean and 2.37 standard deviations above the mean?
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.>
In a distribution with u = 80 and o = 20, a z-score of z = -1.00 corresponds to an X value of X = 70. O True O False
2 part for uniform distr.

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