Need some help with probability and density funtions.
I have two functions:
for x = 2, 3, 4, 6
I need to find the popper value for k, the mean, and the variance.
For the first function I found k = 1/65 using the fact that the probabilities must sum to 1. Is this correct?
For the mean of the first function, do I plug in each value into the function, then take this result and multiply it by the value, then sum? Like this:
= 315/65 = 4.85?
And for the variance my notes say: Sum of (value * mean)^2 * prob. of the value
3219.68 is what I get, is this correct?
As far as the second density function, I am not sure where to start? How do you find the proper value for k when the function is continuous?