1. A $1 scratch off lotto ticket will be a winner one out of 10times. Out of a shipment of n = 200 lotto tickets, using thePoisson distributions in each case (for a, b and c), find theprobability for the lotto tickets that there are: a. somewherebetween 75 and 95 prizes. b. somewhere between 15 and 25 prizes. c.more than 50 prizes d.If a customer keeps buying tickets till shefinds a winner, find the probability that her 10thticket will be a winner.