A total of n people including you are invited to a party The

A total of n people, including you, are invited to a party. The times at which people arrive at the party are independent random variables that are uniformly distributed on the unit interval.

Solution

a)

PMF will be

uniform distribution between 0 and 1

that means that

X = 1 / (1-0) for 0<x<1

expected number of people will be

E(X) = [1+0] / 2 = 1/2 + 1 = 1.5