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 Mean Standard Deviation X 9.5 12.9 Y 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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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34. 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
Mean
Standard Deviation
X
9.5
12.9
Y
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:34. 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 Mean Standard Deviation X 9.5 12.9 Y 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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