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
0.10
0.10
0.01
0.01
1
1
0.20
The sum of all probabilities in a probability model must equal 1. Therefore, we can calculate the value of x by subtracting the sum of P(Y) for Y = C, A, R, and E from 1:
1 - (0.18 + 0.30 + 0.17) = 1 - 0.65 = 0.35
Therefore, the value of x is 0.35.
check agian
Apologies for the error in my previous response. Let's correct that calculation.
We know that the sum of all probabilities must equal 1. So, we add the probabilities of Y = Y, C, A, R, and E:
0.25 + 0.18 + 0.30 + 0.17 + x = 1
Now, substitute the known values:
0.25 + 0.18 + 0.30 + 0.17 + x = 1
0.90 + x = 1
x = 1 - 0.90
x = 0.10
So, the value of x is 0.10 in this probability model.