A table represents a probability model based on observed frequencies where c is chosen .25 times, a is chosen .18 times, r is chosen .30 times, and e is chosen .17 times. what is the value of x?
Since the sum of all probabilities in a probability model must add up to 1, we can use the given frequencies of choices to calculate the probability of choosing each letter:
P(c) = 0.25
P(a) = 0.18
P(r) = 0.30
P(e) = 0.17
Summing up the probabilities:
P(c) + P(a) + P(r) + P(e) = 0.25 + 0.18 + 0.30 + 0.17 = 0.9
Therefore, the value of x is:
x = 1 - 0.9 = 0.1.