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. 5. 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. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 O B. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ОС. 1,2, 3, 4, 5, 6 O D. 3, 4, 5, 6, 7, 8, 9, 10, 11 Determine 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(1) = ,P(2) = P(3) = P(4) = P(5) = P(6) = O B. P(2) = P(3) = , P(4) = P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12) = O C. P(3) = ,P(4)%= , P(5)%D P(6) = P(7) = , P(8) = P(9) = P(10) = P(11) = O D. P(1) = P(2) = ,P(3)% D P(4) = P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12) =
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. 5. 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. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 O B. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ОС. 1,2, 3, 4, 5, 6 O D. 3, 4, 5, 6, 7, 8, 9, 10, 11 Determine 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(1) = ,P(2) = P(3) = P(4) = P(5) = P(6) = O B. P(2) = P(3) = , P(4) = P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12) = O C. P(3) = ,P(4)%= , P(5)%D P(6) = P(7) = , P(8) = P(9) = P(10) = P(11) = O D. P(1) = P(2) = ,P(3)% D P(4) = P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12) =
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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![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.
a. List the possible outcomes for the variable x. Choose the correct answer below.
O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
ОС. 1,2, 3, 4, 5, 6
O D. 3, 4, 5, 6, 7, 8, 9, 10, 11
Determine 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(1) =. P(2) =
P(3) =
P(4) =
P(5) =
P(6) =
О В. Р/2)-
P(3) =
, P(4) =
, P(5) =
P(6) =
P(7) =
P(8) =
P(9) =
, P(10)=
P(11) =
P(12) =
%3D
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) =
P(7) =
P(8) =
P(9) =
P(10) =
P(11) =
P(12) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F695f1bd1-9409-42fc-bf5a-b149a70a13a6%2Fe7f28192-e418-4565-8ffa-63ea2a786bd6%2Fasg4i7_processed.png&w=3840&q=75)
Transcribed Image Text: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.
a. List the possible outcomes for the variable x. Choose the correct answer below.
O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
ОС. 1,2, 3, 4, 5, 6
O D. 3, 4, 5, 6, 7, 8, 9, 10, 11
Determine 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(1) =. P(2) =
P(3) =
P(4) =
P(5) =
P(6) =
О В. Р/2)-
P(3) =
, P(4) =
, P(5) =
P(6) =
P(7) =
P(8) =
P(9) =
, P(10)=
P(11) =
P(12) =
%3D
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) =
P(7) =
P(8) =
P(9) =
P(10) =
P(11) =
P(12) =
![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.
(...)
U A. P(1)=
P(2) =
P(3) =, P(4) =
P(5) =
P(6) =|
О В. Р2) 3
P(3) =
P(4) =
P(5) =
P(6) =
P(7) =
P(8) =
P(9) =
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) =
P(7) =
P(8) =
P(9) =
P(10) =
P(11) =
P(12) =
Calculate the expected value of x.
E(x) = (Type an integer or a decimal. Do not round.)
b. Calculate the variance of x.
o = (Simplify your answer.)
c. Calculate the standard deviation of x.
Oy =
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F695f1bd1-9409-42fc-bf5a-b149a70a13a6%2Fe7f28192-e418-4565-8ffa-63ea2a786bd6%2Fp17j9f_processed.png&w=3840&q=75)
Transcribed Image Text: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.
(...)
U A. P(1)=
P(2) =
P(3) =, P(4) =
P(5) =
P(6) =|
О В. Р2) 3
P(3) =
P(4) =
P(5) =
P(6) =
P(7) =
P(8) =
P(9) =
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) =
P(7) =
P(8) =
P(9) =
P(10) =
P(11) =
P(12) =
Calculate the expected value of x.
E(x) = (Type an integer or a decimal. Do not round.)
b. Calculate the variance of x.
o = (Simplify your answer.)
c. Calculate the standard deviation of x.
Oy =
(Round to three decimal places as needed.)
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