A food manufacturer uses an extruder that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times everyday it operates. Let Y denote the number of breakdowns per day and let R=1600-50Y2 represent the daily revenue generated by the machine.
a. What kind of distribution does Y have (give name and parameter value(s))?
b. Find the expected daily revenue for the extruder.