the probability density of heights h of people in Chicago is exponential. Assume that the people can be any (positive) height. The mean height is W. Determine the normalized distribution and calculate the mean square height.
Sketch P(h). Indicate the dimensions of P(h). Calculate the probability that a person is taller than a but shorter than b.
I know the probability density for an exponential distribution is ue^(-ux) for x greater than or equal to 0.
I don't know where to go from here though. How can I normalize without having specific numbers?
I know the mean square height is equal to -^2, but where can i go from here?
Is P(h) simply an exponential decay? What are dimensions? is the probability of a person being taller than a but shorter than b simply the integral from a to b of the probability density function ue^(-ux)?
Thanks for your help and for clarifying!