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A box contains red, blue, green, purple, and yellow crayons such that the probability of drawing a purple crayon is 3/7. An experiment consists of blindly choosing a crayon, replacing it, and choosing another crayon. The two draws are independent. A random variable assigns the number of purple crayons to each outcome. What is the range of the random variable?

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Final answer:

The range of the random variable is 0, 1, and 2.

Step-by-step explanation:

The range of a random variable is the set of all possible values that the variable can take.

In this case, the random variable represents the number of purple crayons drawn in two draws, so the possible values are 0, 1, and 2.

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