A loaded die lands on each of its six sides with the following distribution. a. What is the expected value of X? b. What is the variance of X? c. What is the coefficient of variation (CV) of X? d. If we randomly throw the die, what is the probability that it will land on an even number? X 1 2 3 4 5 6 Pr(X=x) 0.1 0.3 0.25 0.05 0.15 0.15 e. In case someone rolls a number smaller than, or equal to 3, they will receive $40, and they will pay $-45 otherwise. If we use Y to denote the random variable that captures the amount of money that one receives or pays, then specify the distribution of Y. f. Calculate the expected value of Y from part e.
A loaded die lands on each of its six sides with the following distribution. a. What is the expected value of X? b. What is the variance of X? c. What is the coefficient of variation (CV) of X? d. If we randomly throw the die, what is the probability that it will land on an even number? X 1 2 3 4 5 6 Pr(X=x) 0.1 0.3 0.25 0.05 0.15 0.15 e. In case someone rolls a number smaller than, or equal to 3, they will receive $40, and they will pay $-45 otherwise. If we use Y to denote the random variable that captures the amount of money that one receives or pays, then specify the distribution of Y. f. Calculate the expected value of Y from part e.
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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A loaded die lands on each of its six sides with the following distribution.
a. What is the expected value of X?
b. What is the variance of X?
c. What is the coefficient of variation (CV) of X?
d. If we randomly throw the die, what is the probability that it will land on an
even number?
X 1 2 3 4 5 6
Pr(X=x) 0.1 0.3 0.25 0.05 0.15 0.15
a. What is the expected value of X?
b. What is the variance of X?
c. What is the coefficient of variation (CV) of X?
d. If we randomly throw the die, what is the probability that it will land on an
even number?
X 1 2 3 4 5 6
Pr(X=x) 0.1 0.3 0.25 0.05 0.15 0.15
e. In case someone rolls a number smaller than, or equal to 3, they will receive
$40, and they will pay $-45 otherwise. If we use Y to denote the random variable that
captures the amount of money that one receives or pays, then specify the distribution
of Y.
f. Calculate the expected value of Y from part e.
$40, and they will pay $-45 otherwise. If we use Y to denote the random variable that
captures the amount of money that one receives or pays, then specify the distribution
of Y.
f. Calculate the expected value of Y from part e.
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