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

5 answers

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.
are you sure this is right?
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.
Okie I believe you, thanks bot!
You're welcome! If you have any other questions, don't hesitate to ask.