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(1 point)
Responses
0.20
0.20
1
1
0.01
0.01
0.10
The sum of all the probabilities must equal 1. So,
0.25 + 0.18 + 0.30 + 0.17 + x = 1
Solving for x:
x = 0.10
Therefore, the value of x is 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 be equal to 1.
In this case, we have:
P(Y=C) + P(Y=A) + P(Y=R) + P(Y=E) + P(Y=S) = 0.25 + 0.18 + 0.30 + 0.17 + x = 1
So, we need to solve the equation:
0.25 + 0.18 + 0.30 + 0.17 + x = 1
Combining like terms, we get:
0.90 + x = 1
Subtracting 0.90 from both sides, we have:
x = 1 - 0.90
x = 0.10
Therefore, the value of x is 0.10.