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A set of ten cards consists of five red cards and five black cards. The cards ar

ID: 3367483 • Letter: A

Question

A set of ten cards consists of five red cards and five black cards. The cards are shuffled thoroughly Four of these cards will be selected at random without replacement. Let X = the number of red card in the set of Four selected cards. Which of the following probability distributions is appropriate for the random variable X? A. A continuous distribution with mean 3 and variance 1.22. B. A binomial distribution with parameters n 4 and p 0.5 C. A binomial distribution with parameters n 10 and p 0.5 D. The binomial distribution is inappropriate because the results of trials are not independent.

Explanation / Answer

here as experiment is done without replacement; tehrefore events are not independent

hence correct option is D

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