In a casino game, a balanced six-sided die with four green (G) and two red (R) faces is tossed once. A player wins $6 if the upturned face is red. (a) What is the probability of winning on a single play? (b) Let X be the payoff. Find the probability distribution of X. (c) Find ux. If the player pays $3 to play the g

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In a casino game, a balanced six-sided die with four green (G) and two red (R) faces is tossed once. A player wins $6 if the upturned face is red.

(a) What is the probability of winning on a single play?

(b) Let X be the payoff. Find the probability distribution of X.

(c) Find ux. If the player pays $3 to play the game, how much does the casino keep in the long run?

d) Find ox.

Name Emmy Apaloo
1. In a casino game, a balanced six-sided die with four green (G) and two red (R) faces is tossed
once. A player wins $6 if the upturned face is red.
(a) What is the probability of winning on a single play?
MAT 217
HW μ,σ
COMPOSITION
(b) Let X be the payoff. Find the probability distribution of X.
(on back)
DOO
DOD
Se
STAT
And
(c) Find ux. If the player pays $3 to play the game, how much does the casino keep in the
long run?
CMPIX
BASE
1 2 3
6
Ran Ranint e
X
Pol
DRGA
X10 Ans
ncr
000
Rec
BICO 7mm-942
Transcribed Image Text:Name Emmy Apaloo 1. In a casino game, a balanced six-sided die with four green (G) and two red (R) faces is tossed once. A player wins $6 if the upturned face is red. (a) What is the probability of winning on a single play? MAT 217 HW μ,σ COMPOSITION (b) Let X be the payoff. Find the probability distribution of X. (on back) DOO DOD Se STAT And (c) Find ux. If the player pays $3 to play the game, how much does the casino keep in the long run? CMPIX BASE 1 2 3 6 Ran Ranint e X Pol DRGA X10 Ans ncr 000 Rec BICO 7mm-942
2. Find ox.
Enclude
COMPOSITION
3. X and Y are distributions with the following:
μχ = 1, σχ = 2;
Let U = 2X+Y+ 1. Find the following.
(a) μυ·
(b) ou.
My = 2, σy = 1.
Transcribed Image Text:2. Find ox. Enclude COMPOSITION 3. X and Y are distributions with the following: μχ = 1, σχ = 2; Let U = 2X+Y+ 1. Find the following. (a) μυ· (b) ou. My = 2, σy = 1.
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