The table to the right lists probabilities for the corresponding numbers of girl

Question

The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical? A. The random variable is P(x), which is the probability of a number of girls in three births. The possible values of P(x) are 0.125 and 0.375 The values of the random value P(x) are not numerical. B. The random variable is P(x), which is the probability of a number of girls in three births. The possible values of P(x) are 0.125 and 0.375. The values of the P(x) are numerical. C. The random variable is x, which is the number of girls in three births The possible values of x are 0, 1, 2, and 3 The values of the random value x are not numerical. D. The random variable is x, which is the number of girls in three births. The possible values of x are 0, 1, 2, and 3. The values of the random value x are numerical.

Explanation / Answer

Here the girls in the 3 months are random variables (since they are independant) and P(x) is dependant. The values are numerical, that is countable(0,1,2,3). Therefore Option D is the correct answer.

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