The table to the right lists probabilities for the corresponding numbers of girl
ID: 3124801 • Letter: T
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? Number of girls
x P(x) 0,0.125 1,0.375 2,0.375 3,0.125
Choose the correct answer below.
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 numerical.
B.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.
C. 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.
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 not numerical.
Explanation / Answer
OPTION B: B.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.
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The P(x) values are the probabilities; x is the random variable itself.
x can only range from 0 to 3.
These are numerical values because addition/subtraction of them makes sense (i.e. 1 girl + 2 girls = 3 girls).
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