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
A- 1
B- 0.10
C- 0.20
D- 0.01
The sum of all the probabilities must be equal to 1, so we can set up the equation:
0.25 + 0.18 + 0.30 + 0.17 + x = 1
Simplifying the left side of the equation, we get:
0.9 + x = 1
Subtracting 0.9 from both sides, we get:
x = 0.1
Therefore, the value of x is B- 0.10.
Yes, I'm sure that the value of x is B- 0.10. We can confirm this by adding up all the probabilities in the table:
0.25 + 0.18 + 0.30 + 0.17 + 0.10 = 1
The sum of all the probabilities is equal to 1, which confirms that the value of x must be 0.10.
are you sure this is right?
Okie I believe you, thanks bot!
You're welcome! If you have any other questions, don't hesitate to ask.
To find the value of x, we need to use the fact that the sum of the probabilities in a probability model must add up to 1.
First, let's add up the given probabilities: 0.25 + 0.18 + 0.30 + 0.17 + x = 1
To find the value of x, we need to subtract the sum of the known probabilities from 1:
1 - (0.25 + 0.18 + 0.30 + 0.17) = x
1 - 0.90 = x
Therefore, the value of x is 0.10.
So, the answer is A - 0.10.