### Probability Distribution for the Sum of Two DiceThe random variable \( X \) represents the sum of the numbers on two balanced dice when rolled. The probability distribution table for \( X \) is as follows:| \( X \) | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 ||--------------|------|------|------|------|------|------|------|------|------|------|------|| \( P(X=x) \) | 1/36 | 1/18 | 1/12 | 1/9 | 5/36 | 1/6 | 5/36 | 1/9 | 1/12 | 1/18 | 1/36 |#### Tasks:**g. Find the mean of the sum of the dice.**To find the mean (or expected value) \( E(X) \) of the sum of the dice, use the formula:\[ E(X) = \sum (x \cdot P(X=x)) \]**h. Find the standard deviation for the sum of the dice.**First, find the variance \( \text{Var}(X) \) using:\[ \text{Var}(X) = \sum (x^2 \cdot P(X=x)) - [E(X)]^2 \]Then, calculate the standard deviation by taking the square root of the variance:\[ \text{Standard Deviation} = \sqrt{\text{Var}(X)} \]

Answered: 2. The random variable X is sum 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

The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.
Pls answer number 1 and 2
please sir solve this question
The discrete probability distribution is given by i. ii. iii. x P(X = x) 0 0 1 k Show that k Find the mean of the probability distribution. Find the variance of the probability distribution. 2 2k 3 3k نیا
ols A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. 0 0 1 0.2447 2 0.3208 3 0.2415 4 0.1073 P(X=x) 0.0857 ... a. Find and interpret the mean of the random variable. =(Round to four decimal places as needed.) View an example Help me solve this Get more help. F5 A MacBook Air F6 F7 DII Clear all FB F9 I Check answer F10 F11
A collection of numbers is Normal with a Mean of 20 and a Standard Deviation of 5; that is N(20,5). Boris’s score is 23.7 and Bela’s score is 26.2. What is the probability that a score is greater than Boris and less than Bela? Your final answer should be correct to 3 places after the decimal point. ________
-4 2 pl 2 3 | 4 1 Let Xbe a random variable with the following probability distribution. 9. Find the mean of the discrete random variable X. C. -0.03 A. -0.02 B. -0.20 D. -0.30 10. What is a? A. 3.94 C. 3.96 B. 3.95 D. 3.97
Choose an American household at random and let the random variable ?X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars. Number of cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 About what percentage of households have a number of cars within 2 standard deviations of the mean?
pls answer no.9
J 1
Find the variance of the probability distribution for the histogram shown.
Use the following information for the next 3 questions. The random variable x is the number of books sold in an hour at a local book store. Its probability distribution is as follows. Books Sold (x) Probability P(x) 0.01 2 0.24 3. 0.12 4. 0.16 5n 6. 0.01 0.14 7. O.11 0.21 16. Determine the mean number of books sold in an hour at that local book store. 17. Find the standard deviation for the number of books sold in an hour at that local book store. 18. Give the maximum and minimum number of books they could expect to sell in an hour. (Round to the nearest tenth.)

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

2. The random variable X is sum of the dice when 2 balanced dice are rolled. 2 3 4 7 8 9. 10 11 12 P(X=x) 1/36 1/18 1/12 1/9 5/36 1/6 5/36 1/9 1/12 1/18 1/36 g. Find the mean of the sum of the dice. h. Find the standard deviation for the sum of the dice.