The time, T, that a manufacturing system is out of operation has cumulative distribution function 2 2 1 ,2 ( ) 0, otherwise. t F t t     − >   =      The resulting cost to the company is 2 Y T = . Let g be the density function for Y. Determine g(y), for y > 4.

Acafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or french fries. he used a computer program to randomly select three dishes for monday's lunch. what is the theoretical probability the applesauce and broccoli will both be offered monday?