If the table below represents a probability model based on observed frequencies, what is the value of x ?

Question

Y C A R E S
P(Y) 0.25 0.18 0.30 0.17 x (1 point)
Responses

0.20
0.20

0.10
0.10

1
1

0.01
0.01

Answer 1

The sum of all the probabilities should add up to 1. Therefore, to find the value of x, we subtract the sum of the known probabilities from 1:

1 - (0.25 + 0.18 + 0.30 + 0.17) = 1 - 0.90 = 0.10

Therefore, the value of x is 0.10.