A dice is thrown followed by throwing coins, the number of times the currency is tossed depends on he outcome of the dice that comes out. Suppose X denotes the random variable value of the number hat appears on the toss of the dice and Y denotes the random variable resulting from the number of aces (M) that appears on the toss of a coin. . Complete the probability with X and Y by filling in the table below: 1/12 1/12 Y 1 2 0 1 2 3 4 5 6 a. Determine the formula for the joint probability mass function X and Y! b. Find the marginal distribution of X! c. Find the marginal distribution of Y! d. Are X and Y independent? 1/24 2/24 X 3 4 5 6

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A dice is thrown followed by throwing coins, the number of times the currency is tossed depends on
the outcome of the dice that comes out. Suppose X denotes the random variable value of the number
that appears on the toss of the dice and Y denotes the random variable resulting from the number of
faces (M) that appears on the toss of a coin.
a. Complete the probability with X and Y by filling in the table below:
Y
0
1
2
3
4
LO
5
1/12
1/12
1
1/24
2/24
c. Find the marginal distribution of Y!
d. Are X and Y independent?
2
X
3
4
6
a. Determine the formula for the joint probability mass function X and Y!
b. Find the marginal distribution of X!
5
Transcribed Image Text:A dice is thrown followed by throwing coins, the number of times the currency is tossed depends on the outcome of the dice that comes out. Suppose X denotes the random variable value of the number that appears on the toss of the dice and Y denotes the random variable resulting from the number of faces (M) that appears on the toss of a coin. a. Complete the probability with X and Y by filling in the table below: Y 0 1 2 3 4 LO 5 1/12 1/12 1 1/24 2/24 c. Find the marginal distribution of Y! d. Are X and Y independent? 2 X 3 4 6 a. Determine the formula for the joint probability mass function X and Y! b. Find the marginal distribution of X! 5
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