A large fast food restaurant is having a promotional game where game pieces can be found on various products Customers can win food or cash prizes According to the company the probability of winning a prize large or small with any eligible purchase is 0 12 Consider your next 31 purchases that produce a game piece a Define the distribution of the number of winning prize pieces in those purchases with its name and parameters X Use GeoGebra to calculate the following Round your answers to 4 decimal places b What is the probability that you win 3 prizes c What is the probability that you win between 2 and 5 inclusive prizes d What is the probability that you win 1 prizes or fewer