We have two fair three-sided dice, indexed by =1,2 . each die has sides labelled 1 , 2 , and 3 . we roll the two dice independently, one roll for each die. for =1,2 , let the random variable represent the result of the th die, so that is uniformly distributed over the set {1,2,3} . define =− .

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Which of the following tables represents exponential functions?

Solve this problem! extra ! 3025/5.5 = a/90.75