4. Another die question. Fair six-sided die is labelled in one of three ways: there are two sides labelled 1, three sides labelled 2 and one side labelled 3. If it costs $1 to play and you win $1 x result from die, what is the expected value of this game? die 1 3 x, payoff 1 – 1 2 – 1 3 1 2 6 The expected value is 2 H = E(X) = af(x) = 0 - +1. 6. +2 %3D ①)종 (1) 릉 (ii) 등 (iv) 증. x <- 0:2 # values of random variable 116 3/6
4. Another die question. Fair six-sided die is labelled in one of three ways: there are two sides labelled 1, three sides labelled 2 and one side labelled 3. If it costs $1 to play and you win $1 x result from die, what is the expected value of this game? die 1 3 x, payoff 1 – 1 2 – 1 3 1 2 6 The expected value is 2 H = E(X) = af(x) = 0 - +1. 6. +2 %3D ①)종 (1) 릉 (ii) 등 (iv) 증. x <- 0:2 # values of random variable 116 3/6
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
7- answer is given, show solution only, thanks
![Section 5. Mean and Variance (LECTURE NOTES 4)
61
4. Another die question. Fair six-sided die is labelled in one of three ways: there
are two sides labelled 1, three sides labelled 2 and one side labelled 3. If it costs
$1 to play and you win $1 x result from die, what is the expected value of this
game?
die
1
3
х, раyoff| 1- 1
f(z)
3 1
3
2-1
6.
The expected value is
2
3.
µ = E(X) = f(x) = 0 - +1.
+2.
%3D
%3D
6.
6.
(0) 증 (1) 층 (ii1) 등 (iv) 증.
x <- 0:2 # values of random variable
px <- c(2,3,1)/6 # probabilities
EX <- sum (x*px); EX # E (X)
[1] 5/6
5. Binomial: Airplane engines. Each engine of four (n = 4) on an airplane fails
11% (p = 0.11, q = 1-p 0.89) of the time. Assume this problem obeys the
conditions of a binomial experiment, in other words, X is b(4, 0.11).
116](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F494e80ae-0562-4de4-9fa3-d6c167ddee04%2F027f551a-0c84-4318-956e-78720cb55187%2Fl2lu8nj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Section 5. Mean and Variance (LECTURE NOTES 4)
61
4. Another die question. Fair six-sided die is labelled in one of three ways: there
are two sides labelled 1, three sides labelled 2 and one side labelled 3. If it costs
$1 to play and you win $1 x result from die, what is the expected value of this
game?
die
1
3
х, раyoff| 1- 1
f(z)
3 1
3
2-1
6.
The expected value is
2
3.
µ = E(X) = f(x) = 0 - +1.
+2.
%3D
%3D
6.
6.
(0) 증 (1) 층 (ii1) 등 (iv) 증.
x <- 0:2 # values of random variable
px <- c(2,3,1)/6 # probabilities
EX <- sum (x*px); EX # E (X)
[1] 5/6
5. Binomial: Airplane engines. Each engine of four (n = 4) on an airplane fails
11% (p = 0.11, q = 1-p 0.89) of the time. Assume this problem obeys the
conditions of a binomial experiment, in other words, X is b(4, 0.11).
116
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