Question 1Determine the mean of the random variable in the following data:Xf(x)1/206/20O-3OC-31/20-16/2006/20A Moving to the next question prevents changes to this answer.16/2031/20

x p(x) x*p(X) -3 1/20 -3/20 -1 6/20 -6/20 0 6/20 0 1 6/20 6/20 3 1/20 3/20

Answered: Question 1 Determine the mean of the…

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

O Three uncorrelated random variables X1, X, andX3 have means 1, - 3 and 1.5 and second moments 2.5, 11 and 3.5 respectively. Let Y = X1- 2X2+ 3X3 be a new random variable. Find (a) mean value (b) variance of Y.
1 Select one: ANB AUB NONE The variance of the following data equals: 0. 1 3 4 f (X) 1/ 3. 6/ Select one: NONE 4/3 6) 3.
Do question 2
An exponential random variable X has a true mean value of 5. Suppose we observe n =17 independent realizations of this random variable, x1, x2,..., n. What is the variance of the sample mean?
Compute mean, variance, and standard deviation
answer the second question.
The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are nomally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys would be higher than the mean height of the sample of girls 18: O 0 9878 O 0.0062 O 0.9938 0 9972 Let E[X(Y-1)] 10, E[X(Y#1)] 20, V(X) Then E(Y) 8. V(Y) 12 and V(X+Y) 30. O 14/5 12/5 2
1. Six batteries taken at random from a large lot were subjected to life tests with the following results: 19, 22, 18, 16, 25, and 20 hours. Find the probability that the sample mean of x= 20 hours, as observed here, or one less than 20 hours could arise if the true mean of the lot of batteries is 21.5 hours, assuming a known variance of o = 10 hours, for the individual batteries in the lot. %3D
Suppose the horses in a large stable have a mean weight of 818 lbs, and a variance of 3481. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 18 lbs if 34 horses are sampled at random from the stable? 0.920 0.925 0.912 O 0.945 None of these t
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value
21 0.2 2. Find the variance and the standard deviation of the probability distribution of the random variable X which can take only the values 2, 3, 5, 7, 11, and 13, given that P(2)= 0.15, P(3)= 0.25, P(5)= 0.15, P(7)= 0.10, P(11) = 0.30, and P(13)= 0.05 3. A radio station has six telephone lines. If the host is unable to talk or is talking to another person, the other callers are placed on hold. When all lines are in use, others who are trying to call in get busy signal. The probability that 0, 1, 2, 3 or 4 people will get through is 0.22, 0.10, 0.21, 0.23, and 0.24, respectively. Find the variance and the standard deviation for the distribution. 237
Example 3.6.4 Let X have the N(10, 16) distribution (ie. Ganssian distribution with mean 10 and variance 16). Find the munerical values of the following probabilities: P{X 2 15), PEX <5), P{X² 2400), and P{X = 2}.

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

Question 1 Determine the mean of the random variable in the following data: -3 0 1/20 6/20 X f(x) O 1/20 6/20 O-3 O 0 -1 6/20 1 6/20 3 1/20