If 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 0.30 0.17 x (1 point)
Responses

0.01
0.01

0.20
0.20

0.10
0.10

1

1 answer

Since the sum of all probabilities in a probability model must equal 1, we can solve for x by summing up the probabilities given and subtracting from 1:

0.25 + 0.18 + 0.30 + 0.17 + x = 1
0.9 + x = 1
x = 0.1

Therefore, the value of x is 0.10.