x P(x)
0 0.26
1 0.11
2 0.16
3 0.05
4 0.42
find mu

2.16
2.42
2.52
2.26

Question

x P(x)
0 0.26
1 0.11
2 0.16
3 0.05
4 0.42
find mu

2.16
2.42
2.52
2.26

tomfoolery1 · Answer

the last numbers are the choices

mrm · Answer

mu is your mean value, or average.  Since each x has a different probability P(x), then you must do a Weighted Average.  A weighted average is calculated as follows:

$$average = \frac{ x_nP(x_n) }{ n }$$

where n is the number of rows

mrm · Answer

I didnt exactly write that equation out well... let me expand it

mrm · Answer

$$\mu = \frac{x_1P(x_1)+x_2P(x_2)+...}{n}$$

tomfoolery1 · Answer

what is x? and i also am not sure what P is

mrm · Answer

I'm sorry... I told you wrong.... I apologize.

mrm · Answer

You have a column of numbers x, and a column of numbers P(x).  x is your value, P(x) is the probability of that value occurring.

$$\mu = x_1P(x_1)+x_2P(x_2)+...$$

Multiply each x by P and then all all the results together.

mrm · Answer

For example... 

(0)(0.26)+(1)(0.11)+...

tomfoolery1 · Answer

ok i got 2.26!

tomfoolery1 · Answer

is that close?

mrm · Answer

That's right!  Good job.

tomfoolery1 · Answer

Ahh thank you so much!! super helpful!