I have this Joint Probability table: I need to figure out
a) E[X] (given Y=30)
b) E[Y] (given X=5)
I have worked something out, I'm not certain it is correct though.
For a) I did: (1 x .10) + (5 x .05) + (8 x .15) = 1.55
and for b) : (14 x .17) + (22 x .15) + (30 x .05) + (40 x .02) + (65 x .01) = 7.91
Can anyone tell me if I am moving along the right track?
Sorry, I am having one last problem with this table.
Again based on the table in my first post, I have a question that says:
What is the variance of Y?
I think I have to do it like this:
Var(Y) = (Probability that Y=14)*(14 - mean)^2 + P(Y=22)*(22-mean)^2 +............. P(Y=65)*(65-mean)^2
My problem is finding the Probability that Y = 14, 22, etc.... and the mean. I believe I have calculated the mean correctly though, I came up with 34.2
If anyone can help me out it would be great
Sorry once again for bumping this so soon, but I think I have solved it! Just want to make sure :P
So for the Variance of Y, I did this:
(.21)(14-34.2)^2 + (.23)(22-34.2)^2 + (.30)(30-34.2)^2 + (.15)(40-34.2)^2 + (.11)(65-34.2)^2 = 238.2
Have I solved this correctly? (I am still unsure about the mean being 34.2)