Two six-sided dice are rolled and the random variablex is the sum of the values produced by each die.a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x.b. Calculate the variance of x.c. Calculate the standard deviation of x.a. List the possible outcomes for the variable x. Choose the correct answer below.O A. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12ОВ. 1,2, 3, 4, 5, 6O C. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12O D. 3, 4, 5, 6, 7, 8, 9, 10, 11Determine the probability for each outcome. Select the correct choice below and fill in the answer boxes to complete your choice.(Type integers or fractions.)O A. P(2) =, P(3) = P(4) =P(5) =, P(6) =, P(7)= P(8) =P(9) =P(10) = P(11)= P(12) =%3DO B. P(1)=P(2) =, P(3) = P(4) = P(5) =P(6) =P(7) = P(8) =P(10) =, P(11) =P(12) =O C. P(3) = P(4) = P(5) =P(6) =P(7) =P(8) =P(9) =P(10) =, P(11) =O D. P(1) =P(2) = P(3) = P(4) =P(5) = P(6)=Click to select your answer(s). o six-sided dice are rolled and the random variable x is the sum of the values produced by each die.ist the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x.alculate the variance of x.alculate the standard deviation of x.A. P(2)=P(3)= P(4)=TP(5) = P(6) =P(7) =, P(8) = P(9) = , P(10) = . P(11)= |P(12) =3. P(1)=P(2)=P(3) =, P(4)=P(5) =, P(6) =P(7)=P(8) = , P(9) =P(10)= P(11)-P(12)=%3D%3DP(3) =P(4) =. P(5) =P(6) = P(7)=P(8) =, P(9) =P(10) =, P(11) =· P(1)=P(2) =P(3) = P(4) =, P(5) =P(6) = |%3Dlate the expected value of x.|(Type an integer or a decimal. Do not round.)culate the variance of x.(Simplify your answer.ulate the standard deviation of x.(Round to three decimal places as needed.)select your answer(s).

Solution: Given that , Two six -side dice are rolled and random variable x is the sum of the values…

Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die. a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x. b. Calculate the variance of x. c. Calculate the standard deviation of x.

Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die. a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x. b. Calculate the variance of x. c. Calculate the standard deviation of x.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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