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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. The means and standard deviations of the random variables for a particular player are shown in the table below. Variable X Y Mean Standard Deviation 9.5 12.9 5.4 1.1 Assume that X and Y are independent. What are the expected value and the standard deviation of the points per game for the player? (A) The expected value is -6.5, and the standard deviation is 63.5. (B) The expected value is -6.5, and the standard deviation is 65.4. (C) The expected value is 4.1, and the standard deviation is 63.5. (D) The expected value is 4.1, and the standard deviation is 65.4. (E) The expected value is 101.5, and the standard deviation is 63.5.

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. The means and standard deviations of the random variables for a particular player are shown in the table below. Variable X Y Mean Standard Deviation 9.5 12.9 5.4 1.1 Assume that X and Y are independent. What are the expected value and the standard deviation of the points per game for the player? (A) The expected value is -6.5, and the standard deviation is 63.5. (B) The expected value is -6.5, and the standard deviation is 65.4. (C) The expected value is 4.1, and the standard deviation is 63.5. (D) The expected value is 4.1, and the standard deviation is 65.4. (E) The expected value is 101.5, and the standard deviation is 63.5.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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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. The means and standard deviations of the random variables for a particular player are shown in the table below. Variable X Y Mean Standard Deviation 9.5 12.9 5.4 1.1 Assume that X and Y are independent. What are the expected value and the standard deviation of the points per game for the player? (A) The expected value is -6.5, and the standard deviation is 63.5. (B) The expected value is -6.5, and the standard deviation is 65.4. (C) The expected value is 4.1, and the standard deviation is 63.5. (D) The expected value is 4.1, and the standard deviation is 65.4. (E) The expected value is 101.5, and the standard deviation is 63.5.
Transcribed Image Text: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. The means and standard deviations of the random variables for a particular player are shown in the table below. Variable X Y Mean Standard Deviation 9.5 12.9 5.4 1.1 Assume that X and Y are independent. What are the expected value and the standard deviation of the points per game for the player? (A) The expected value is -6.5, and the standard deviation is 63.5. (B) The expected value is -6.5, and the standard deviation is 65.4. (C) The expected value is 4.1, and the standard deviation is 63.5. (D) The expected value is 4.1, and the standard deviation is 65.4. (E) The expected value is 101.5, and the standard deviation is 63.5.
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