# Question: Show that if n people are distributed at random along

Show that if n people are distributed at random along a road L miles long, then the probability that no 2 people are less than a distance D miles apart is when D ≤ L/(n − 1), [1 − (n − 1)D/L]n. What if D > L/(n − 1)?

**View Solution:**## Answer to relevant Questions

Establish Equation (6.2) by differentiating Equation (6.4). If X and Y are independent standard normal random variables, determine the joint density function of U = X V= X/Y Then use your result to show that X/Y has a Cauchy distribution. For a standard normal random variable Z, let μn = E[Zn]. Show that Start by expanding the moment generating function of Z into a Taylor series about 0 to obtain We say that X is stochastically larger than Y, written X ≥st Y, if, for all t. P{X > t} ≥ P{Y > t} Show that if X ≥st Y, then E[X] ≥ E[Y] when (a) X and Y are nonnegative random variables; (b) X and Y are arbitrary ...The game of Clue involves 6 suspects, 6 weapons, and 9 rooms. One of each is randomly chosen and the object of the game is to guess the chosen three.Post your question