x P(X = x)3 .046 .629 ?12 .21Look at the relative frequency table above. What is P(X = 9) assuming the table represents all possible outcomes?0.130.870.230.35
Question
x P(X = x)3 .046 .629 ?12 .21Look at the relative frequency table above. What is P(X = 9) assuming the table represents all possible outcomes?0.130.870.230.35
Solution
The relative frequency table represents all possible outcomes of a random variable X. The sum of all probabilities in this table should be equal to 1.
From the table, we have:
P(X = 3) = 0.046 P(X = ?) = 0.629 P(X = 12) = 0.21
We can find P(X = 9) by subtracting the known probabilities from 1:
P(X = 9) = 1 - P(X = 3) - P(X = ?) - P(X = 12) P(X = 9) = 1 - 0.046 - 0.629 - 0.21 P(X = 9) = 1 - 0.885 P(X = 9) = 0.115
So, none of the provided options (0.13, 0.87, 0.23, 0.35) are correct. The probability P(X = 9) is 0.115.
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