(1) Many people consider their smart phone to be essential!Communication, news, Internet, entertainment, photos, and justkeeping current are all conveniently possible with a smart phone.However, the battery better be charged or the phone is useless.Battery life of course depends on the frequency, duration, and typeof use. One study involving heavy use of the phones showed the meanof the battery life to be 11.75 hours with a standard deviation of3.4 hours. Then the battery needs to be recharged. Assume thebattery life between charges is normally distributed. (a) Find theprobability that with heavy use, the battery life exceeds 12 hours.(Round your answer to four decimal places.) (b) You are planningyour recharging schedule so that the probability your phone willdie is no more than 5%. After how many hours should you plan torecharge your phone? (Round your answer to the nearest tenth of anhour.) -------hours (2) The University of Montana ski team has sixentrants in a men's downhill ski event. The coach would like thefirst, second, and third places to go to the team members. In howmany ways can the six team entrants achieve first, second, andthird places? (3) Find z such that 15% of the area under thestandard normal curve lies to the right of z. (Round your answer totwo decimal places.) Incorrect: Your answer is incorrect.