The average fuel consumption for a boeing 747 jet is normally distributed with a mean of 3245 gallons of jet fuel per hour and a standard deviation of 186 gallons per hour. (a) when a boeing 747 is randomly selected what is the probability that its fuel consumption is between 3105 and 3498 jet fuel gallons per hour? (b) rephrase your answer in (a) in the context of percentages (c) when a boeing 747 is randomly selected what is the probability that its fuel consumption is more that 3498 jet fuel gallons per hour? (e) what is the fuel consumption per hour of the most efficient 10% of all boeing 747 jets? (hint: the maryland car example in your notes references “miles per gallon”. higher miles per gallon means that the car is more efficient. but this example references “gallons per hour”. less gallons per hour means that the jet is more efficient).

For problems 1-3, consider a simple dc brush motor with a permanent magnet stator. with an an consider a simple dc brush motor with a permanent magnet ae supply voltage of 100 v, the no-load speed of the motor is 1000 rpm. this motor can provide a torque of 1.9 n-m at 800 rpm drawing a current of 2 a current are both zero at no load.) 1. with an armature supply voltage of 100 v, the motor is operated at 900 rpm. what is the motor torque? what is the mechanical power delivered by the motor? what is the current draw? what is the electrical power input? what is the energy efficiency of the motor? with an armature supply voltage of 100 v, the motor is operated at 1100 rpm (where it acts as a generator). what torque input is required? what mechanical power is required what current is generated? what is the electrical power generated? what is the energy efficiency of the motor acting as a generator? 2. with an armature supply voltage raised to 120 v, the motor is operated at 1000 rpm. what is the no-load speed? what is the motor torque? what is the mechanical power delivered by the motor? what is the current draw? what is the electrical power input what is the energy efficiency of the motor? 3.