Poisson Distribution

The daily demand for birthday cakes at acake shop has a Poisson distribution with mean 2.5. Every day the shop prepares4 birthday cakes for sale.a) Find the probability that 4 ormore birthday cakes are demanded on a day. (0.2424)b) Find the mean number ofbirthday cakes sold at the shop per day. (2.3292)c) If the profit on each birthdaycake sold is $100 and the loss on each unsold is $50, find the expected totalprofit from the birthday cakes per day, correct to the nearest dollars. ($149)