In an urn there are five balls marked with the following numbers: -1, 0, 0 0, 1. Three balls are removed simultaneously. Denote by X the sum of the extracted numbers and by Y the largest value between them. For the statements below, answer V for true and F for false. I. The probability of event X=0 and Y=1 is 0.25.0 II. The conditional probability of Y=0 given X=-1 is equal to 1.0 III. Variables X and Y are independent. O IV. The means of the X and Y variables are 0 and 0.25, respectivelyO V. The mean of the XY product variable is zero. O

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In an urn there are five balls marked with the following numbers: -1, 0, 0,
0, 1.
Three balls are removed simultaneously.
Denote by X the sum of the extracted numbers and by Y the largest
value between them.
For the statements below, answer V for true and F for false.
I. The probability of event X=0 and Y=1 is 0.25.0
II. The conditional probability of Y=0 given X=-1 is equal to 1.0
III. Variables X and Y are independent. O
IV. The means of the X and Y variables are 0 and 0.25, respectivelyO
V. The mean of the XY product variable is zero. O
Transcribed Image Text:In an urn there are five balls marked with the following numbers: -1, 0, 0, 0, 1. Three balls are removed simultaneously. Denote by X the sum of the extracted numbers and by Y the largest value between them. For the statements below, answer V for true and F for false. I. The probability of event X=0 and Y=1 is 0.25.0 II. The conditional probability of Y=0 given X=-1 is equal to 1.0 III. Variables X and Y are independent. O IV. The means of the X and Y variables are 0 and 0.25, respectivelyO V. The mean of the XY product variable is zero. O
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