Probability question dealing with expected value shown below
a random variable X has a distribution ae^(ax), Let [x] denote the greatest integer function applied to the real number ?, that is, the largest integer among those not exceeding ?.
What is the correct expression for the expected value of ? =[x]? the answer should involve a

…should involve a what?

the constant a in the equation ae^(ax)
Answer
 The questioner was satisfied and accepted the answer, or
 The answer was disputed, but the judge evaluated it as 100% correct.

how did you get (e^(a) 1)e^(a(w+1)) actually?

It's the derivative of 1−e ^(−a(w+1)). Chain rule.

if you simplify 1e^(awa) to 1(e^aw)(e^a) then the derivative with respect to w is (ae^(aw))(e^a) right? says the same thing on symbolab https://www.symbolab.com/solver/stepbystep/%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial%20x%7D%5Cleft(1e%5E%7Baxa%7D%5Cright)?or=input

You’re right. I realized you can just find the PMF directly with an integral. I’ve edited my answer.

okay, thanks
 answered
 158 views
 $10.00
Related Questions
 Bivariate Normality questions
 Car accidents and the Poisson distribution
 Quantile function of CDF
 Three red balls and three green balls on a circle
 Please check if my answers are correct  statistic, probability
 Probabilty question
 Probability question, joint probability distribution
 Probability  what is the probability that a given tire length will lie in a lenght of interest