(5 POINTS) 29) PAGE 13 OF 13 A) APPLICANCE WARRANTY - THE WARRANTY ON THE MOTOR OF A DISHWASHER IS 8 YEARS. IF THE BREAKDOWN TIMES OF THIS MOTOR ARE NORMALLY DISTRIBUTED, WITH A MEAN OF 10.2 YEARS AND A STANDARD DEVIAITON OF 1.8 YEARS, FIND THE PERCENT OF MOTORS THAT CAN BE EXPECTED TO REQUIRE REPAIR OR REPLACEMENT UNDER WARRANTY. B) GRADING ON A NORMAL CURVE - MR. SANDERSON MARKS HIS CLASS ON A NORMAL CURVE. THOSE WITH Z-SCORES ABOVE 1.8 WILL RECEIVE AN A, THOSE BETWEEN 1.8 AND 1.1 WILL RECEIVE A B, THOSE BETWEEN 1.1 AND -1.2 WILL RECEIVE A C, THOSE BETWEEN -1.2 AND -1.9 WILL RECEIVE A D, AND THOSE UNDER -1.9 WILL RECEIVE AN F. FIND THE PERCENT OF GRADES THAT WILL BE A, B, C, D, AND F. C) EXPECTED ATTENDANCE - IF THE DAY IS SUNNY, 1000 PEOPLE WILL ATTEND THE BASEBALL GAME. IF THE DAY IS CLOUDY, ONLY 500 PEOPLE WILL ATTEND. IF IT RAINS, ONLY 100 PEOPLE WILL ATTEND. THE LOCAL METEOROLOGIST STATES THAT THE PROBABILITY OF A SUNNY DAY IS 0.4, OF A CLOUDY DAY IS 0.5, AND OF A RAINY DAY IS 0.1. FIND THE NUMBER OF PEOPLE THAT ARE EXPECTED TO ATTEND. D) CONSTRUCTING A TEST-A TEACHER IS CONSTRUCTING A MATHEMATICS TEST CONSISTING OF 10 QUESTIONS. SHE HAS A POOL OF 28 QUESTIONS, WHICH ARE CLASSIFIED BY LEVEL OF DIFFICULTY AS FOLLOWS: 6 DIFFICULT QUESTIONS, 10 AVERAGE QUESTIONS, AND 12 EASY QUESTIONS. HOW MANY DIFFERENT 10 QUESTION TESTS CAN SHE CONSTRUCT FROM THE POOL OF 28 QUESTIONS IF HER TEST IS TO HAVE 3 DIFFICULT, 4 AVERAGE, AND 3 EASY QUESTIONS? E) HOW MANY DIFFERENT ARRANGEMENTS CAN BE MADE WITH THE NUMBERS 28535852?