Given a normal distribution with p=101 and o= 10, and given you select a sample of n = 4,a. What is the probability that X is less than 95?P(X<95)= 1151(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

Answered: Given a normal distribution with µ =101…

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

Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 15 ounces. a. The process standard deviation is 0.10 ounces, and the process control is set at plus or minus 2 standard deviation Units with weights less than 14.8 or greater than 15.2 ounces will be classified as defects. What is the probability of defect (to 4 decimals)? .3174 In a production run of 1000 parts, how many defects would be found (round to the nearest whole number)? 317.4 b. Through process design improvements, the process standard deviation can be reduced to 0.08 ounces. Assume th process control remains the same, with weights less than 14.8 or greater than 15.2 ounces being classified as defects What is the probability of a defect (round to 4 decimals; if necessary)? In a production run of 1000 parts, how many defects would be found (to the nearest whole number)? c.…
What is b
A random sample of size 16 is taken from the normal distribution with mean 20 and variance 4. Let C denote the sample average. What is the probability that C is larger than 19? O a. O b. 0.6915 O C. O d. 0.3085 O e. 0.9972 0.0228 0.5000
Given a normal distribution with u = 100 and o = 10, and given you select a sample of n= 4, complete parts (a) through (d). %3D a. What is the probability that X is less than 92? P(X101)= (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 67% chance that X is above what value? (Type an integer or decimal rounded to two decimal places as needed.)
The area under a normal curve corresponding to a certain characteristic of the normal random variable may be interpreted in any of the following ways. Select all that apply. A. The area corresponds to the proportion of the population with the characteristic. B. The area corresponds to the probability that a randomly selected individual from the population has the characteristic. C. The area corresponds to the number of individuals in the population with the characteristic.
A mean undergraduate cost for tuition , fees , room , and board for four-year institutions was 26,489 for a recent academic year. Suppose that the population standard deviation equals 3, 204 and 36 four year institutions are randomly selected .find the probability that the sample mean cost for these 36 schools is between 24,000 and 26, 000.find the corresponding area for the z values.
Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
There are 100,000 particles m-3, and the particle diameters follow a normal distribution. The mean diameter is 0.1 µm, and the standard deviation is 0.02 µm. a. How many particles m-3 have diameters larger than 0.15 µm? b. How many particles m-3 have diameters between 0.14 µm and 0.15 µm?
Jarþrúður, a geologist is working with the random variable Z that follows the standard normal distribution. What is the value of z if P (Z> z) = 0.0968?
A normal distribution has a mean of u = 45 with o =5. What is the probability of sampling an individual with a score greater than 49?
If a single 10-sided die is tossed once, find the probability of rolling a 8 or a 3. The probability is (Type a whole number or a simplified fraction.)
What is the probability of randomly selecting a z-score less than z = –1.25 from a normal distribution? Question options: a. 0.2112 b. 0.1056 c. 0.8944 d. 0.3944

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

Given a normal distribution with µ =101 and o=10, and given you select a sample of n = 4 a. What is the probability that X is less than 95? P(X<95) = 1151 (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