1. The problem statement, all variables and given/known data Let X be a random variable; show that for a>1 and t>0, P(X>=(1/t)(ln(a)))<=(1/a)(Mx(t)) 2. Relevant equations 3. The attempt at a solution I know, from a previous problem, that, where X is a random variable and K is a constant, P(X>t)<=E(exp(kX))/(exp(kt)) For the right side of the equation of the problem, I know that Mx(t)=E(exp(tx)), which is the numerator of the equation, but I don't know how to show that the denominator ="a". Any helpful hints would be very much appreciated.