You walk into the Rolling Thunder Casino, and are immediately faced with a table that offers the following game: A player pays $2 to play. The player can win $ 2, $4, or $5 with probabilities 0.28, 0.08, and 0.03, respectively. A random variable X is to represent the players profit on a single play of the game. The partial probability distribution of X is provided. X -20 2 3 P(X=x)? 0.28 0.08 0.03

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You walk into the Rolling Thunder Casino, and are immediately faced with a table that offers the following
game: A player pays $2 to play. The player can win $ 2, $4, or $5 with probabilities 0.28, 0.08, and 0.03,
respectively. A random variable X is to represent the players profit on a single play of the game.
The partial probability distribution of X is provided.
(a) P(X= 2)
wwww.....
2
3
P(X= z) ? 0.28 0.08 0.03
(b) Sketch the distribution of probabilities from (a), with the values of X on the x-axis and P(X = z) on the y-
axis.
E(X)
(Use two decimals in your answer.)
What can you say about the tendency of the random variable X? The distribution of X is
SD(X)
(c) Compute the expected value of X and the standard deviation of X.
(use two decimals in your answer)
(use two decimals in your answer)
Transcribed Image Text:You walk into the Rolling Thunder Casino, and are immediately faced with a table that offers the following game: A player pays $2 to play. The player can win $ 2, $4, or $5 with probabilities 0.28, 0.08, and 0.03, respectively. A random variable X is to represent the players profit on a single play of the game. The partial probability distribution of X is provided. (a) P(X= 2) wwww..... 2 3 P(X= z) ? 0.28 0.08 0.03 (b) Sketch the distribution of probabilities from (a), with the values of X on the x-axis and P(X = z) on the y- axis. E(X) (Use two decimals in your answer.) What can you say about the tendency of the random variable X? The distribution of X is SD(X) (c) Compute the expected value of X and the standard deviation of X. (use two decimals in your answer) (use two decimals in your answer)
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