The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution.3456f(x)0.30.250.010.040.4Use the following theorem to determine the variance of the random variable X.The variance of a random variable X is o? = E (x?) - u?.The variance is (Round to two decimal places as needed.)

Answered: Image /qna-images/answer/88c83225-7b53-43de-a8da-ee1510fadfc2.jpg

Answered: The random variable X, representing 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

Discrete math: Indicate whether each of the statements below is True or False. No explanation is needed.
Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find the variance of X (four decimal places)
The total number of cars to be sold next week is described by the following probability distribution 1 3 P(X) 0.2 If the variance V(X) of the number of cars sold=0.88 If Y= 4- 2X, determine the variance random variable Y 0.3 0.4 0.1 O-3.52 -1.78 O 3.52 O 2.24
PART VI. Consider the following discrete probability distribution. X P(x) 0 0.18 1 0.44 2 0.27 3 0.08 4 0.03 1. Calculate the mean or the expected value of X 2. Calculate the variance of the random variable, X 3. Calculate the standard deviation of the random variable, X
A barber expects to get between zero and six customers per hour in his barber shop. The probability of these is given as follows: customers probability f(x) 0 .15 1 .07 2 .29 3 .26 4 .13 5 .09 6 .01 Find the number of expected customers that the barber will get per hour. Also, find the variance and standard deviation of this data.
Suppose that the probabilities are 0.3, 0.4, 0.1, and 0.2, respectively, that 0, 1, 2, or 3 power failures will strike a certain subdivision in any given year. Find the mean and variance of the random variable X representing the number of power failures striking this subdivision. Calculate the mean, μ. The mean is Calculate the variance, o². The variance is. (Round to two decimal places as needed.) (Round to two decimal places as needed.)
The table below shows the probability distribution of a random variable Y. Y P(Y) 11 0.7 12 0.1 13 0.1 14 0.1 What is the variance of Y? Write your answer as a decimal. Do not round.
Evaluation Classify the following random variables as discrete or continuous. 1. X = the number of mobile phones sold in one week in AB store 2. Y = the weights in pounds of newly born babies in a hospital nursery 3. X = the number of cars in a parking lot every noon 4. Y = the number of gifts received by a birthday celebrator 5. X = the length of time spent in playing video games in minutes 6. Y = the number of students enrolled in Grade 11 in your school 7. X = number of women randomly selected in a political rally 8. P = the number of points scored in a basketball game 9. Q = the number of employees in a call center who are Bachelor of Science in Nursing graduates 10. P = the heights of varsity players in your school in meters
2
Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)=0.5, P(2)=0.2 and P(3)=D0.3. The variance of X is equal to: Select one: a. 3.5 b. 2.2 O c. 1.81 d. 1.3
Find the variance and the standard deviation of X
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. X p(x) 1 2 0.04 0.10 3 4 0.13 0.30 5 0.31 6 7 (a) Find the mean value of x (the mean number of systems sold). 8 0.10 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

SEE MORE QUESTIONS

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