A popular doughnut shop makes 5000 doughnuts per day, of which 30% (1500 doughnuts) have chocolate icing. Andy likes doughnuts with chocolate icing but his brother Jimmy tells the shop assistant to choose doughnuts randomly whenever he buys them.
A) Determine the probability that on a given Sunday, there will be at least 6 doughnuts with chocolate icing that Jimmy has brought home.
B) In a month of 4 Sundays, what is the probability that Jimmy from will not bring home at least 6 doughnuts with chocolate icing on any of the Sundays.