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Find the possible values of the random variables. Two balls are drawn in succession without replacement from a bowl containing 5 green balls and 6 blue balls. Let T be a random variable representing t

User TkDodo
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Final answer:

The random variable T represents the number of green balls drawn from a bowl containing 5 green and 6 blue balls in two successive draws without replacement. The possible values of T are 0, 1, or 2, corresponding to drawing zero, one, or two green balls respectively.

Step-by-step explanation:

To find the values of the random variable T, which represents the number of green balls drawn from the bowl, we note that there are 5 green balls and 6 blue balls in the bowl. Two balls are drawn in succession without replacement.

The possible values of T can be 0, 1, or 2:

  • If no green balls are drawn, then T = 0.
  • If one green ball is drawn (either on the first or second draw), then T = 1.
  • If both balls drawn are green, then T = 2.

These are the only possible outcomes for the number of green balls drawn without replacement in two draws.

Complete Question:

Find the possible values of the random variables. Two balls are drawn in succession without replacement from a bowl containing 5 green balls and 6 blue balls. Let T be a random variable representing the number of green balls. Find the values of the random variable T.

User Hom Bahrani
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