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assume that x and y are independent. what are the expected value and the standard deviation of the points per game for the player?

Sagot :

The expected value and the standard deviation of the points per game for the player is -6.5 and 65.43 respectively.

Given:

In a certain computer card game, the player is awarded 5 points for each card that is moved to a correct position. The player is penalized 10 points for each minute the game is played. Let the random variable X represent the number of cards moved to a correct position, and let the random variable Y represent the number of minutes the game is played.

From the given table:

E ( X ) = 9.5 * 5 points

= 47.5

E ( Y ) = 5.4 * - 10

= -54

E ( X + Y ) = 47.5 + ( -54 )

= 47.5 - 54

= -6.5

SD ( X ) = 12.5 * 5

= 64.5

SD ( Y ) = - 11

SD ( X + Y ) = [tex]\sqrt{64.5^2 + (-11)^2}[/tex]

= 65.43

Learn more about the standard deviation here:

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