Particles are subject to collisions that cause them to split into two parts with each part a fraction of the parent. Suppose that this fraction is uniformly distributed between 0 and 1. Following a single particle through several splittings we obtain a fraction of the original particle Zn = X1 ·X2 · . . . ·Xn where each Xj is uniformly distributed between 0 and 1. Show that the density for the random variable Zn is
We are a professional writing service that provides original papers. Our products include academic papers of varying complexity and other personalized services, along with research materials for assistance purposes only. All the materials from our website should be used with proper references.