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

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

Responses

0.20
0.20

1
1

0.01
0.01

0.10

1 answer

0.10.

To find the value of x, we can use the fact that the sum of all the probabilities in a probability model must equal 1.

0.25 + 0.18 + 0.30 + 0.17 + x = 1

Simplifying, we get:

x = 1 - (0.25 + 0.18 + 0.30 + 0.17)

x = 1 - 0.90

x = 0.10