During one holiday season, the Texas lottery played a game called the Stocking Stuffer. With this game, total instant winnings of $34.8 million were available in 70 million $1 tickets, with ticket prizes ranging from $1 to $1,000. Shown here are the various prizes and the probability of winning each prize. Use these data to compute the expected value of the game, the variance of the game, and the standard deviation of the game. Prize (x) Probability P(x) $1,000 .00002 100 .00063 20 .00400 812 10 .00601 4 .02403 2 .08877 1 10479 .77175 100

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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During one holiday season, the Texas lottery played a game called the Stocking
Stuffer. With this game, total instant winnings of $34.8 million were available in
70 million $1 tickets, with ticket prizes ranging from $1 to $1,000. Shown here are the
various prizes and the probability of winning each prize. Use these data to compute
the expected value of the game, the variance of the game, and the standard deviation
of the game.
Prize (x)
Probability P(x)
$1,000
.00002
100
.00063
20
.00400
10
.00601
.02403
2
.08877
1
,10479
.77175
100
Transcribed Image Text:During one holiday season, the Texas lottery played a game called the Stocking Stuffer. With this game, total instant winnings of $34.8 million were available in 70 million $1 tickets, with ticket prizes ranging from $1 to $1,000. Shown here are the various prizes and the probability of winning each prize. Use these data to compute the expected value of the game, the variance of the game, and the standard deviation of the game. Prize (x) Probability P(x) $1,000 .00002 100 .00063 20 .00400 10 .00601 .02403 2 .08877 1 ,10479 .77175 100
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