The table below represents a probability model based on observed frequencies, what is the value of X?
Y. C A R E S
P(Y) 0.25. 0.18. O.30. 0.17. X
To find the value of X, we need to use the fact that the sum of the probabilities for all possible outcomes must equal 1.
0.25 + 0.18 + 0.30 + 0.17 + X = 1
Simplifying this equation, we get:
X = 1 - 0.25 - 0.18 - 0.30 - 0.17 = 0.10
Therefore, the value of X in this probability model is 0.10.
Based on the observed frequencies, the sum of the probabilities for Y.CARES is equal to 1. Therefore, the missing value for X can be calculated by subtracting the sum of the other probabilities from 1:
X = 1 - (0.25 + 0.18 + 0.30 + 0.17)