Katey ts planning her shopping fist for Easter and she volunteered to make pies for dinner. Out of all of hertamily members, she knows from past experience that each farnily member eats 2 pieces of pie on average with a standard deviation of 0.4 and that the number of pieces of pie eaten by family members is normally distributed. This year a random sample of 15 family members are coming for Easter. Because of the current state of attairs. the pies will be left on the doorsteps for people to grab a slice or twa: Katey is hoping to only have to make 4 pies which will end up vieking 32 pieces of pic. What is the protability Katey will have to make moee than a total of 32 pieces of pie? Pbound to four decimal places..