3. Unlike the city of Nirvana, New York, where 911 is the all-purpose telephone number for emergencies, in Moscow, Russia, you dial 01 for a fire emergency, 02 for the police, and 03 for an ambulance. It is estimated that emergency calls in Russia have the same frequency distribution as in Nirvana, namely, 60 percent are for the police, 25 percent are for ambulance service, and 15 percent are for the fire department. Assume that 10 calls are monitored and that none of the calls overlap in time and that the calls constitute independent trials. (a) What is the probability that the ten dialed numbers create the sequence 02030202030102030202? (b) How many distinguishable sequences exist that involve six calls to the police, three for an ambulance, and one for the fire department? (c) What is the probability that the ten dialed numbers consist of six calls to the police, three for an ambulance, and one to the fi re department?