Question: A jar contains five balls: three red and two white. Two balls are randomly selected without replacement from the jar, and the number X of

A jar contains five balls: three red and two white. Two balls are randomly selected without replacement from the jar, and the number X of red balls is recorded. Explain why X is or is not a binomial random variable. If the experiment is binomial, give the values of n and p.

Refer to the previous question. Assume that the sampling was conducted with replacement. That is, assume that the first ball was selected from the jar, observed, and then replaced, and that the balls were then mixed before the second ball was selected. Explain, why X, the number of red balls observed, is or is not a binomial random variable.

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