Exercise 2 (order statistics of i. i.d. exp rvs). one hundred light bulbs are simultaneously put on a life test. suppose the lifetimes of the individual light bulbs are independent exp(λ) rvs. let tk be the kth time that some light bulb fails. we will find the distribution of tk using poisson processes.

A1500 w electric heater is plugged into the outlet of a 120 v circuit that has a 20 a circuit breaker. you plug an electric hair dryer into the same outlet. the hair dryer has power settings of 600 w, 900 w , 1200 w, and 1500 w. you start with the hair dryer on the 600 w setting and increase the power setting until the circuit breaker trips. under what setting does the circuit breaker trip.